351645131083680 has 1536 divisors, whose sum is σ = 1490388221952000. Its totient is φ = 75748994519040.

The previous prime is 351645131083639. The next prime is 351645131083783. The reversal of 351645131083680 is 86380131546153.

351645131083680 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 4 + 513 + 10 + 8 + 36 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5918029011 + ... + 5918088429.

It is an arithmetic number, because the mean of its divisors is an integer number (970304832000).

Almost surely, 2^{351645131083680} is an apocalyptic number.

351645131083680 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 351645131083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745194110976000).

351645131083680 is an abundant number, since it is smaller than the sum of its proper divisors (1138743090868320).

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

351645131083680 is a wasteful number, since it uses less digits than its factorization.

351645131083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59647 (or 59633 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 351645131083680 in words is "three hundred fifty-one trillion, six hundred forty-five billion, one hundred thirty-one million, eighty-three thousand, six hundred eighty".