54013400431045 has 64 divisors (see below), whose sum is σ = 75792050417664. Its totient is φ = 36515567416320.

The previous prime is 54013400431043. The next prime is 54013400431051.

54013400431045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54013400431045 - 2¹ = 54013400431043 is a prime.

It is a super-2 number, since 2×54013400431045² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54013400431045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54013400431043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268645624 + ... + 268846606.

It is an arithmetic number, because the mean of its divisors is an integer number (1184250787776).

Almost surely, 2^{54013400431045} is an apocalyptic number.

54013400431045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54013400431045 is a deficient number, since it is larger than the sum of its proper divisors (21778649986619).

54013400431045 is a wasteful number, since it uses less digits than its factorization.

54013400431045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204562.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 54013400 and 431045, that added together give a palindrome (54444445).

The spelling of 54013400431045 in words is "fifty-four trillion, thirteen billion, four hundred million, four hundred thirty-one thousand, forty-five".