51454344345415 has 64 divisors (see below), whose sum is σ = 69898947397632. Its totient is φ = 36040018176000.

The previous prime is 51454344345403. The next prime is 51454344345511.

51454344345415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51454344345415 - 2¹³ = 51454344337223 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41952319 + ... + 43161391.

It is an arithmetic number, because the mean of its divisors is an integer number (1092171053088).

Almost surely, 2^{51454344345415} is an apocalyptic number.

51454344345415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51454344345415 is a deficient number, since it is larger than the sum of its proper divisors (18444603052217).

51454344345415 is a wasteful number, since it uses less digits than its factorization.

51454344345415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209400.

The product of its digits is 23040000, while the sum is 52.

The spelling of 51454344345415 in words is "fifty-one trillion, four hundred fifty-four billion, three hundred forty-four million, three hundred forty-five thousand, four hundred fifteen".