714137973120 has 2304 divisors, whose sum is σ = 3145922841600. Its totient is φ = 152769576960.

The previous prime is 714137973113. The next prime is 714137973151. The reversal of 714137973120 is 21379731417.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15194424937 + ... + 15194424983.

It is an arithmetic number, because the mean of its divisors is an integer number (1365417900).

Almost surely, 2^714137973120 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 714137973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572961420800).

714137973120 is an abundant number, since it is smaller than the sum of its proper divisors (2431784868480).

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

714137973120 is a wasteful number, since it uses less digits than its factorization.

714137973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 714137973120 in words is "seven hundred fourteen billion, one hundred thirty-seven million, nine hundred seventy-three thousand, one hundred twenty".