385452970056 has 1536 divisors, whose sum is σ = 1511731200000. Its totient is φ = 90531302400.

The previous prime is 385452970027. The next prime is 385452970069. The reversal of 385452970056 is 650079254583.

385452970056 is a `hidden beast` number, since 3 + 8 + 545 + 2 + 97 + 0 + 0 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 385452969984 and 385452970011.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5280177636 + ... + 5280177708.

It is an arithmetic number, because the mean of its divisors is an integer number (984200000).

Almost surely, 2^385452970056 is an apocalyptic number.

385452970056 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 385452970056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755865600000).

385452970056 is an abundant number, since it is smaller than the sum of its proper divisors (1126278229944).

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

385452970056 is a wasteful number, since it uses less digits than its factorization.

385452970056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 385452970056 in words is "three hundred eighty-five billion, four hundred fifty-two million, nine hundred seventy thousand, fifty-six".