70857901948032 has 512 divisors, whose sum is σ = 222670752710400. Its totient is φ = 22105650954240.

The previous prime is 70857901947977. The next prime is 70857901948039. The reversal of 70857901948032 is 23084910975807.

70857901948032 is a `hidden beast` number, since 7 + 0 + 8 + 57 + 90 + 19 + 480 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (70857901948039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23962765498 + ... + 23962768454.

Almost surely, 2^{70857901948032} is an apocalyptic number.

70857901948032 is a gapful number since it is divisible by the number (72) 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 70857901948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111335376355200).

70857901948032 is an abundant number, since it is smaller than the sum of its proper divisors (151812850762368).

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

70857901948032 is a wasteful number, since it uses less digits than its factorization.

70857901948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 70857901948032 in words is "seventy trillion, eight hundred fifty-seven billion, nine hundred one million, nine hundred forty-eight thousand, thirty-two".