351231977083680 has 1152 divisors, whose sum is σ = 1642123736064000. Its totient is φ = 69142034626560.

The previous prime is 351231977083657. The next prime is 351231977083697. The reversal of 351231977083680 is 86380779132153.

351231977083680 is a `hidden beast` number, since 3 + 5 + 12 + 3 + 197 + 70 + 8 + 368 + 0 = 666.

It is a super-2 number, since 2×351231977083680² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40271601 + ... + 48210639.

It is an arithmetic number, because the mean of its divisors is an integer number (1425454632000).

Almost surely, 2^{351231977083680} is an apocalyptic number.

351231977083680 is a gapful number since it is divisible by the number (30) 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 351231977083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821061868032000).

351231977083680 is an abundant number, since it is smaller than the sum of its proper divisors (1290891758980320).

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

351231977083680 is a wasteful number, since it uses less digits than its factorization.

351231977083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939107 (or 7939086 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 351231977083680 in words is "three hundred fifty-one trillion, two hundred thirty-one billion, nine hundred seventy-seven million, eighty-three thousand, six hundred eighty".