58456743781401 has 81 divisors (see below), whose sum is σ = 100572497985141. Its totient is φ = 32623166351664.

The previous prime is 58456743781343. The next prime is 58456743781427. The reversal of 58456743781401 is 10418734765485.

The square root of 58456743781401 is 7645701.

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

58456743781401 is a `hidden beast` number, since 5 + 8 + 4 + 56 + 7 + 437 + 8 + 140 + 1 = 666.

It is not a de Polignac number, because 58456743781401 - 2¹⁷ = 58456743650329 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58456743781481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6904063770 + ... + 6904072236.

Almost surely, 2^{58456743781401} is an apocalyptic number.

58456743781401 is the 7645701-st square number.

58456743781401 is the 3822851-st centered octagonal number.

It is an amenable number.

58456743781401 is a deficient number, since it is larger than the sum of its proper divisors (42115754203740).

58456743781401 is an frugal number, since it uses more digits than its factorization.

58456743781401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17040 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 58456743781401 in words is "fifty-eight trillion, four hundred fifty-six billion, seven hundred forty-three million, seven hundred eighty-one thousand, four hundred one".