385367631264 has 576 divisors, whose sum is σ = 1510295310720. Its totient is φ = 94205583360.

The previous prime is 385367631263. The next prime is 385367631277. The reversal of 385367631264 is 462136763583.

385367631264 is a `hidden beast` number, since 3 + 8 + 536 + 76 + 31 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×385367631264² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 385367631264.

It is not an unprimeable number, because it can be changed into a prime (385367631263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7892494 + ... + 7941170.

It is an arithmetic number, because the mean of its divisors is an integer number (2622040470).

Almost surely, 2^385367631264 is an apocalyptic number.

385367631264 is a gapful number since it is divisible by the number (34) 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 385367631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755147655360).

385367631264 is an abundant number, since it is smaller than the sum of its proper divisors (1124927679456).

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

385367631264 is a wasteful number, since it uses less digits than its factorization.

385367631264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48738 (or 48717 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 385367631264 in words is "three hundred eighty-five billion, three hundred sixty-seven million, six hundred thirty-one thousand, two hundred sixty-four".