359532988416 has 1152 divisors, whose sum is σ = 1342017331200. Its totient is φ = 93043261440.

The previous prime is 359532988393. The next prime is 359532988417. The reversal of 359532988416 is 614889235953.

359532988416 is a `hidden beast` number, since 3 + 5 + 9 + 532 + 9 + 8 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (359532988417) 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, 4331722711 + ... + 4331722793.

It is an arithmetic number, because the mean of its divisors is an integer number (1164945600).

Almost surely, 2^359532988416 is an apocalyptic number.

359532988416 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 359532988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671008665600).

359532988416 is an abundant number, since it is smaller than the sum of its proper divisors (982484342784).

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

359532988416 is a wasteful number, since it uses less digits than its factorization.

359532988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 145 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 359532988416 in words is "three hundred fifty-nine billion, five hundred thirty-two million, nine hundred eighty-eight thousand, four hundred sixteen".