1504670061312 has 216 divisors, whose sum is σ = 4895928732240. Its totient is φ = 440237629440.

The previous prime is 1504670061277. The next prime is 1504670061403. The reversal of 1504670061312 is 2131600764051.

1504670061312 is a `hidden beast` number, since 1 + 504 + 67 + 0 + 0 + 61 + 31 + 2 = 666.

It is a super-2 number, since 2×1504670061312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288643 + ... + 1758594.

Almost surely, 2^{1504670061312} is an apocalyptic number.

1504670061312 is a gapful number since it is divisible by the number (12) 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 1504670061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447964366120).

1504670061312 is an abundant number, since it is smaller than the sum of its proper divisors (3391258670928).

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

1504670061312 is a wasteful number, since it uses less digits than its factorization.

1504670061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047299 (or 2047282 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1504670061312 in words is "one trillion, five hundred four billion, six hundred seventy million, sixty-one thousand, three hundred twelve".