45135427401 has 27 divisors (see below), whose sum is σ = 68175594669. Its totient is φ = 28772663832.

The previous prime is 45135427391. The next prime is 45135427423. The reversal of 45135427401 is 10472453154.

The square root of 45135427401 is 212451.

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

45135427401 is a `hidden beast` number, since 45 + 1 + 3 + 542 + 74 + 0 + 1 = 666.

45135427401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45135427401 - 2²³ = 45127038793 is a prime.

It is a super-2 number, since 2×45135427401² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45135427481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14657580 + ... + 14660658.

Almost surely, 2^45135427401 is an apocalyptic number.

45135427401 is the 212451-st square number.

45135427401 is the 106226-th centered octagonal number.

It is an amenable number.

45135427401 is a deficient number, since it is larger than the sum of its proper divisors (23040167268).

45135427401 is an frugal number, since it uses more digits than its factorization.

45135427401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 45135427401 by its sum of digits (36), we get a square (1624875386436 = 1274706²).

The spelling of 45135427401 in words is "forty-five billion, one hundred thirty-five million, four hundred twenty-seven thousand, four hundred one".