359960474016 has 768 divisors, whose sum is σ = 1295603527680. Its totient is φ = 95672586240.

The previous prime is 359960473991. The next prime is 359960474113. The reversal of 359960474016 is 610474069953.

359960474016 is a `hidden beast` number, since 3 + 599 + 6 + 0 + 4 + 7 + 40 + 1 + 6 = 666.

It is a super-2 number, since 2×359960474016² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559813791 + ... + 559814433.

It is an arithmetic number, because the mean of its divisors is an integer number (1686983760).

Almost surely, 2^359960474016 is an apocalyptic number.

359960474016 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 359960474016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647801763840).

359960474016 is an abundant number, since it is smaller than the sum of its proper divisors (935643053664).

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

359960474016 is a wasteful number, since it uses less digits than its factorization.

359960474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

It can be divided in two parts, 35996047 and 4016, that added together give a palindrome (36000063).

The spelling of 359960474016 in words is "three hundred fifty-nine billion, nine hundred sixty million, four hundred seventy-four thousand, sixteen".