54941894590464 has 2160 divisors, whose sum is σ = 204746116743168. Its totient is φ = 14411266523136.

The previous prime is 54941894590379. The next prime is 54941894590519. The reversal of 54941894590464 is 46409549814945.

54941894590464 is a `hidden beast` number, since 5 + 4 + 9 + 41 + 89 + 45 + 9 + 0 + 464 = 666.

It is a super-2 number, since 2×54941894590464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54941894590392 and 54941894590401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432613343169 + ... + 432613343295.

Almost surely, 2^{54941894590464} is an apocalyptic number.

54941894590464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54941894590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102373058371584).

54941894590464 is an abundant number, since it is smaller than the sum of its proper divisors (149804222152704).

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

54941894590464 is an equidigital number, since it uses as much as digits as its factorization.

54941894590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 54941894590464 in words is "fifty-four trillion, nine hundred forty-one billion, eight hundred ninety-four million, five hundred ninety thousand, four hundred sixty-four".