73954822890601 has 15 divisors (see below), whose sum is σ = 75731934427053. Its totient is φ = 72219412232100.

The previous prime is 73954822890563. The next prime is 73954822890629. The reversal of 73954822890601 is 10609822845937.

The square root of 73954822890601 is 8599699.

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

It is not a de Polignac number, because 73954822890601 - 2²³ = 73954814501993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73954822897601) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15900841126 + ... + 15900845776.

It is a 1-persistent number, because it is pandigital, but 2⋅73954822890601 = 147909645781202 is not.

Almost surely, 2^{73954822890601} is an apocalyptic number.

73954822890601 is the 8599699-th square number.

73954822890601 is the 4299850-th centered octagonal number.

It is an amenable number.

73954822890601 is a deficient number, since it is larger than the sum of its proper divisors (1777111536452).

73954822890601 is an frugal number, since it uses more digits than its factorization.

73954822890601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 73954822890601 in words is "seventy-three trillion, nine hundred fifty-four billion, eight hundred twenty-two million, eight hundred ninety thousand, six hundred one".