97514706384 has 240 divisors, whose sum is σ = 289385853120. Its totient is φ = 31779578880.

The previous prime is 97514706371. The next prime is 97514706397. The reversal of 97514706384 is 48360741579.

97514706384 is a `hidden beast` number, since 97 + 5 + 1 + 470 + 6 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (97514706371) and next prime (97514706397).

It is a super-2 number, since 2×97514706384² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97514706384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42451924 + ... + 42454220.

It is an arithmetic number, because the mean of its divisors is an integer number (1205774388).

Almost surely, 2^97514706384 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 97514706384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144692926560).

97514706384 is an abundant number, since it is smaller than the sum of its proper divisors (191871146736).

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

97514706384 is a wasteful number, since it uses less digits than its factorization.

97514706384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 97514706384 in words is "ninety-seven billion, five hundred fourteen million, seven hundred six thousand, three hundred eighty-four".