385662998952 has 720 divisors, whose sum is σ = 1419046300980. Its totient is φ = 97428925440.

The previous prime is 385662998939. The next prime is 385662998953. The reversal of 385662998952 is 259899266583.

385662998952 is a `hidden beast` number, since 3 + 8 + 566 + 2 + 9 + 9 + 8 + 9 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 275933786436 + 109729212516 = 525294^2 + 331254^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (385662998953) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 142152348 + ... + 142155060.

Almost surely, 2^385662998952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385662998952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709523150490).

385662998952 is an abundant number, since it is smaller than the sum of its proper divisors (1033383302028).

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

385662998952 is a wasteful number, since it uses less digits than its factorization.

385662998952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2773 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 385662998952 in words is "three hundred eighty-five billion, six hundred sixty-two million, nine hundred ninety-eight thousand, nine hundred fifty-two".