700988140132032 has 448 divisors, whose sum is σ = 1983362048000000. Its totient is φ = 217863304888320.

The previous prime is 700988140131943. The next prime is 700988140132097. The reversal of 700988140132032 is 230231041889007.

It is a happy number.

It is a super-3 number, since 3×700988140132032³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 145102075857 + ... + 145102080687.

Almost surely, 2^{700988140132032} 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 700988140132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991681024000000).

700988140132032 is an abundant number, since it is smaller than the sum of its proper divisors (1282373907867968).

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

700988140132032 is a wasteful number, since it uses less digits than its factorization.

700988140132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 700988140132032 in words is "seven hundred trillion, nine hundred eighty-eight billion, one hundred forty million, one hundred thirty-two thousand, thirty-two".