23477768745984 has 1408 divisors, whose sum is σ = 87514402544640. Its totient is φ = 6140138618880.

The previous prime is 23477768745953. The next prime is 23477768746007. The reversal of 23477768745984 is 48954786777432.

23477768745984 is a `hidden beast` number, since 2 + 3 + 4 + 7 + 7 + 7 + 6 + 87 + 459 + 84 = 666.

It is a super-2 number, since 2×23477768745984² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9860464474 + ... + 9860466854.

Almost surely, 2^{23477768745984} is an apocalyptic number.

23477768745984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23477768745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43757201272320).

23477768745984 is an abundant number, since it is smaller than the sum of its proper divisors (64036633798656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23477768745984 is an equidigital number, since it uses as much as digits as its factorization.

23477768745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2447 counting only the distinct ones).

The product of its digits is 15931883520, while the sum is 81.

The spelling of 23477768745984 in words is "twenty-three trillion, four hundred seventy-seven billion, seven hundred sixty-eight million, seven hundred forty-five thousand, nine hundred eighty-four".