146451424863744 has 1440 divisors, whose sum is σ = 578692112334336. Its totient is φ = 35048874147840.

The previous prime is 146451424863727. The next prime is 146451424863763. The reversal of 146451424863744 is 447368424154641.

146451424863744 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 5 + 14 + 248 + 6 + 374 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18953202409 + ... + 18953210135.

Almost surely, 2^{146451424863744} is an apocalyptic number.

146451424863744 is a gapful number since it is divisible by the number (14) 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 146451424863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289346056167168).

146451424863744 is an abundant number, since it is smaller than the sum of its proper divisors (432240687470592).

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

146451424863744 is a wasteful number, since it uses less digits than its factorization.

146451424863744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 8350 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 63.

The spelling of 146451424863744 in words is "one hundred forty-six trillion, four hundred fifty-one billion, four hundred twenty-four million, eight hundred sixty-three thousand, seven hundred forty-four".