1604930095152 has 400 divisors, whose sum is σ = 5227643266560. Its totient is φ = 472363259904.

The previous prime is 1604930095141. The next prime is 1604930095253. The reversal of 1604930095152 is 2515900394061.

1604930095152 is a `hidden beast` number, since 1 + 6 + 0 + 493 + 0 + 0 + 9 + 5 + 152 = 666.

It is a super-2 number, since 2×1604930095152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1604930095098 and 1604930095107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43098013 + ... + 43135235.

Almost surely, 2^{1604930095152} is an apocalyptic number.

1604930095152 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 1604930095152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613821633280).

1604930095152 is an abundant number, since it is smaller than the sum of its proper divisors (3622713171408).

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

1604930095152 is a wasteful number, since it uses less digits than its factorization.

1604930095152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37382 (or 37367 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1604930095152 in words is "one trillion, six hundred four billion, nine hundred thirty million, ninety-five thousand, one hundred fifty-two".