357384908042064 has 400 divisors, whose sum is σ = 1202587248918528. Its totient is φ = 100359138910464.

The previous prime is 357384908042053. The next prime is 357384908042081. The reversal of 357384908042064 is 460240809483753.

357384908042064 is a `hidden beast` number, since 3 + 5 + 7 + 3 + 8 + 490 + 80 + 4 + 2 + 0 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 357384908041992 and 357384908042010.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 121829917 + ... + 124728899.

Almost surely, 2^{357384908042064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357384908042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601293624459264).

357384908042064 is an abundant number, since it is smaller than the sum of its proper divisors (845202340876464).

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

357384908042064 is a wasteful number, since it uses less digits than its factorization.

357384908042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899244 (or 2899229 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 357384908042064 in words is "three hundred fifty-seven trillion, three hundred eighty-four billion, nine hundred eight million, forty-two thousand, sixty-four".