361552149504 has 792 divisors, whose sum is σ = 1356868491888. Its totient is φ = 95312609280.

The previous prime is 361552149493. The next prime is 361552149547. The reversal of 361552149504 is 405941255163.

It is a happy number.

361552149504 is a `hidden beast` number, since 3 + 6 + 1 + 552 + 1 + 4 + 95 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 361552149504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158504844 + ... + 158507124.

Almost surely, 2^361552149504 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 361552149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678434245944).

361552149504 is an abundant number, since it is smaller than the sum of its proper divisors (995316342384).

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

361552149504 is a wasteful number, since it uses less digits than its factorization.

361552149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 361552149504 in words is "three hundred sixty-one billion, five hundred fifty-two million, one hundred forty-nine thousand, five hundred four".