938961465120 has 2304 divisors, whose sum is σ = 4408208179200. Its totient is φ = 184772689920.

The previous prime is 938961465097. The next prime is 938961465173. The reversal of 938961465120 is 21564169839.

938961465120 is a `hidden beast` number, since 9 + 3 + 8 + 9 + 614 + 6 + 5 + 12 + 0 = 666.

It is a super-2 number, since 2×938961465120² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2119551619 + ... + 2119552061.

It is an arithmetic number, because the mean of its divisors is an integer number (1913284800).

Almost surely, 2^938961465120 is an apocalyptic number.

938961465120 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 938961465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204104089600).

938961465120 is an abundant number, since it is smaller than the sum of its proper divisors (3469246714080).

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

938961465120 is a wasteful number, since it uses less digits than its factorization.

938961465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 938961465120 in words is "nine hundred thirty-eight billion, nine hundred sixty-one million, four hundred sixty-five thousand, one hundred twenty".