70648849152 has 648 divisors, whose sum is σ = 253708286832. Its totient is φ = 18785894400.

The previous prime is 70648849121. The next prime is 70648849153. The reversal of 70648849152 is 25194884607.

It is a happy number.

70648849152 is a `hidden beast` number, since 7 + 0 + 6 + 488 + 4 + 9 + 152 = 666.

It is a super-2 number, since 2×70648849152² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70648849153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251419252 + ... + 251419532.

It is an arithmetic number, because the mean of its divisors is an integer number (391525134).

Almost surely, 2^70648849152 is an apocalyptic number.

70648849152 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 70648849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126854143416).

70648849152 is an abundant number, since it is smaller than the sum of its proper divisors (183059437680).

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

70648849152 is a wasteful number, since it uses less digits than its factorization.

70648849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 70648849152 in words is "seventy billion, six hundred forty-eight million, eight hundred forty-nine thousand, one hundred fifty-two".