70152938496 has 297 divisors, whose sum is σ = 211688455953. Its totient is φ = 22375710720.

The previous prime is 70152938489. The next prime is 70152938501. The reversal of 70152938496 is 69483925107.

The square root of 70152938496 is 264864.

It is a perfect power (a square), and thus also a powerful number.

70152938496 is a `hidden beast` number, since 70 + 1 + 52 + 9 + 38 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13470852096 + 56682086400 = 116064^2 + 238080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 788235220 + ... + 788235308.

It is a 2-persistent number, because it is pandigital, and so is 2⋅70152938496 = 140305876992, but 3⋅70152938496 = 210458815488 is not.

Almost surely, 2^70152938496 is an apocalyptic number.

70152938496 is the 264864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70152938496

70152938496 is an abundant number, since it is smaller than the sum of its proper divisors (141535517457).

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

70152938496 is an equidigital number, since it uses as much as digits as its factorization.

70152938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 70152938496 in words is "seventy billion, one hundred fifty-two million, nine hundred thirty-eight thousand, four hundred ninety-six".