54962555526945 has 192 divisors, whose sum is σ = 112213403198208. Its totient is φ = 24586997760000.

The previous prime is 54962555526799. The next prime is 54962555526997.

54962555526945 is a `hidden beast` number, since 5 + 4 + 9 + 6 + 2 + 5 + 5 + 5 + 526 + 94 + 5 = 666.

54962555526945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54962555526945 - 2¹³ = 54962555518753 is a prime.

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, 535588690 + ... + 535691300.

It is an arithmetic number, because the mean of its divisors is an integer number (584444808324).

Almost surely, 2^{54962555526945} is an apocalyptic number.

54962555526945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54962555526945 is an abundant number, since it is smaller than the sum of its proper divisors (57250847671263).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54962555526945 is a wasteful number, since it uses less digits than its factorization.

54962555526945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103904 (or 103901 counting only the distinct ones).

The product of its digits is 2916000000, while the sum is 72.

The spelling of 54962555526945 in words is "fifty-four trillion, nine hundred sixty-two billion, five hundred fifty-five million, five hundred twenty-six thousand, nine hundred forty-five".