58014481379904 has 672 divisors, whose sum is σ = 205766404945920. Its totient is φ = 15845986050048.

The previous prime is 58014481379887. The next prime is 58014481379923. The reversal of 58014481379904 is 40997318441085.

58014481379904 is a `hidden beast` number, since 5 + 80 + 1 + 4 + 481 + 3 + 79 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5330738047 + ... + 5330748929.

It is an arithmetic number, because the mean of its divisors is an integer number (306200007360).

Almost surely, 2^{58014481379904} is an apocalyptic number.

58014481379904 is a gapful number since it is divisible by the number (54) 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 58014481379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102883202472960).

58014481379904 is an abundant number, since it is smaller than the sum of its proper divisors (147751923566016).

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

58014481379904 is a wasteful number, since it uses less digits than its factorization.

58014481379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 58014481379904 in words is "fifty-eight trillion, fourteen billion, four hundred eighty-one million, three hundred seventy-nine thousand, nine hundred four".