925914151661400 has 480 divisors, whose sum is σ = 3540371106769200. Its totient is φ = 222404729011200.

The previous prime is 925914151661347. The next prime is 925914151661431. The reversal of 925914151661400 is 4166151419529.

925914151661400 is a `hidden beast` number, since 9 + 2 + 5 + 9 + 1 + 4 + 1 + 5 + 16 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4410727 + ... + 43258326.

Almost surely, 2^{925914151661400} is an apocalyptic number.

925914151661400 is a gapful number since it is divisible by the number (90) 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 925914151661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770185553384600).

925914151661400 is an abundant number, since it is smaller than the sum of its proper divisors (2614456955107800).

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

925914151661400 is a wasteful number, since it uses less digits than its factorization.

925914151661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47669201 (or 47669183 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 925914151661400 in words is "nine hundred twenty-five trillion, nine hundred fourteen billion, one hundred fifty-one million, six hundred sixty-one thousand, four hundred".