356289672816 has 400 divisors, whose sum is σ = 1361292514560. Its totient is φ = 87098664960.

The previous prime is 356289672773. The next prime is 356289672857. The reversal of 356289672816 is 618276982653.

It is a happy number.

356289672816 is a `hidden beast` number, since 3 + 562 + 8 + 9 + 67 + 2 + 8 + 1 + 6 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1591455 + ... + 1801473.

Almost surely, 2^356289672816 is an apocalyptic number.

356289672816 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 356289672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680646257280).

356289672816 is an abundant number, since it is smaller than the sum of its proper divisors (1005002841744).

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

356289672816 is a wasteful number, since it uses less digits than its factorization.

356289672816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210074 (or 210059 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 356289672816 in words is "three hundred fifty-six billion, two hundred eighty-nine million, six hundred seventy-two thousand, eight hundred sixteen".