93998654464 has 297 divisors, whose sum is σ = 227038548681. Its totient is φ = 38851338240.

The previous prime is 93998654423. The next prime is 93998654501. The reversal of 93998654464 is 46445689939.

The square root of 93998654464 is 306592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13905126400 + 80093528064 = 117920^2 + 283008^2 .

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93998654464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1402964959 + ... + 1402965025.

Almost surely, 2^93998654464 is an apocalyptic number.

93998654464 is the 306592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93998654464

93998654464 is an abundant number, since it is smaller than the sum of its proper divisors (133039894217).

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

93998654464 is a wasteful number, since it uses less digits than its factorization.

93998654464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 93 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 67.

The spelling of 93998654464 in words is "ninety-three billion, nine hundred ninety-eight million, six hundred fifty-four thousand, four hundred sixty-four".