359016017472 has 560 divisors, whose sum is σ = 1273325847552. Its totient is φ = 97793879040.

The previous prime is 359016017431. The next prime is 359016017497. The reversal of 359016017472 is 274710610953.

359016017472 is a `hidden beast` number, since 3 + 5 + 9 + 0 + 160 + 17 + 472 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369737947 + ... + 369738917.

Almost surely, 2^359016017472 is an apocalyptic number.

359016017472 is a gapful number since it is divisible by the number (32) 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 359016017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636662923776).

359016017472 is an abundant number, since it is smaller than the sum of its proper divisors (914309830080).

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

359016017472 is a wasteful number, since it uses less digits than its factorization.

359016017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 359016017472 in words is "three hundred fifty-nine billion, sixteen million, seventeen thousand, four hundred seventy-two".