714134098944 has 352 divisors, whose sum is σ = 2429831577600. Its totient is φ = 202959544320.

The previous prime is 714134098921. The next prime is 714134098991. The reversal of 714134098944 is 449890431417.

714134098944 is a `hidden beast` number, since 7 + 141 + 3 + 409 + 8 + 94 + 4 = 666.

It is a super-2 number, since 2×714134098944² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36955717 + ... + 36975035.

Almost surely, 2^714134098944 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 714134098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214915788800).

714134098944 is an abundant number, since it is smaller than the sum of its proper divisors (1715697478656).

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

714134098944 is a wasteful number, since it uses less digits than its factorization.

714134098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19546 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 714134098944 in words is "seven hundred fourteen billion, one hundred thirty-four million, ninety-eight thousand, nine hundred forty-four".