70008461834112 has 448 divisors, whose sum is σ = 215936720564400. Its totient is φ = 22584197357568.

The previous prime is 70008461834023. The next prime is 70008461834237. The reversal of 70008461834112 is 21143816480007.

70008461834112 is a `hidden beast` number, since 70 + 0 + 0 + 8 + 461 + 8 + 3 + 4 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 437273308 + ... + 437433380.

Almost surely, 2^{70008461834112} is an apocalyptic number.

70008461834112 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 70008461834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107968360282200).

70008461834112 is an abundant number, since it is smaller than the sum of its proper divisors (145928258730288).

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

70008461834112 is a wasteful number, since it uses less digits than its factorization.

70008461834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160257 (or 160230 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 70008461834112 in words is "seventy trillion, eight billion, four hundred sixty-one million, eight hundred thirty-four thousand, one hundred twelve".