51454655645415 has 192 divisors, whose sum is σ = 99425301921792. Its totient is φ = 22469041267200.

The previous prime is 51454655645401. The next prime is 51454655645431.

51454655645415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51454655645415 - 2¹³ = 51454655637223 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160896264 + ... + 161215746.

It is an arithmetic number, because the mean of its divisors is an integer number (517840114176).

Almost surely, 2^{51454655645415} is an apocalyptic number.

51454655645415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51454655645415 is a deficient number, since it is larger than the sum of its proper divisors (47970646276377).

51454655645415 is a wasteful number, since it uses less digits than its factorization.

51454655645415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319630 (or 319593 counting only the distinct ones).

The product of its digits is 144000000, while the sum is 60.

The spelling of 51454655645415 in words is "fifty-one trillion, four hundred fifty-four billion, six hundred fifty-five million, six hundred forty-five thousand, four hundred fifteen".