714098137104 has 400 divisors, whose sum is σ = 2314246968000. Its totient is φ = 210747018240.

The previous prime is 714098137099. The next prime is 714098137147. The reversal of 714098137104 is 401731890417.

714098137104 is a `hidden beast` number, since 7 + 1 + 409 + 8 + 137 + 104 = 666.

It is a super-3 number, since 3×714098137104³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 714098137104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91676442 + ... + 91684230.

It is an arithmetic number, because the mean of its divisors is an integer number (5785617420).

Almost surely, 2^714098137104 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 714098137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157123484000).

714098137104 is an abundant number, since it is smaller than the sum of its proper divisors (1600148830896).

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

714098137104 is a wasteful number, since it uses less digits than its factorization.

714098137104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7988 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 714098137104 in words is "seven hundred fourteen billion, ninety-eight million, one hundred thirty-seven thousand, one hundred four".