379153875456 has 320 divisors, whose sum is σ = 1171660723200. Its totient is φ = 120921292800.

The previous prime is 379153875433. The next prime is 379153875523. The reversal of 379153875456 is 654578351973.

379153875456 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 5 + 3 + 87 + 545 + 6 = 666.

It is a super-2 number, since 2×379153875456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 379153875393 and 379153875402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38135446 + ... + 38145386.

It is an arithmetic number, because the mean of its divisors is an integer number (3661439760).

Almost surely, 2^379153875456 is an apocalyptic number.

379153875456 is a gapful number since it is divisible by the number (36) 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 379153875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585830361600).

379153875456 is an abundant number, since it is smaller than the sum of its proper divisors (792506847744).

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

379153875456 is an equidigital number, since it uses as much as digits as its factorization.

379153875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088 (or 10066 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 379153875456 in words is "three hundred seventy-nine billion, one hundred fifty-three million, eight hundred seventy-five thousand, four hundred fifty-six".