93948416857440 has 480 divisors, whose sum is σ = 333142425310464. Its totient is φ = 24933444157440.

The previous prime is 93948416857411. The next prime is 93948416857483. The reversal of 93948416857440 is 4475861484939.

93948416857440 is a `hidden beast` number, since 9 + 3 + 9 + 4 + 8 + 4 + 1 + 6 + 8 + 574 + 40 = 666.

93948416857440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 5550202257 + ... + 5550219183.

Almost surely, 2^{93948416857440} is an apocalyptic number.

93948416857440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93948416857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166571212655232).

93948416857440 is an abundant number, since it is smaller than the sum of its proper divisors (239194008453024).

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

93948416857440 is a wasteful number, since it uses less digits than its factorization.

93948416857440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18972 (or 18955 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 93948416857440 in words is "ninety-three trillion, nine hundred forty-eight billion, four hundred sixteen million, eight hundred fifty-seven thousand, four hundred forty".