54609641535456 has 240 divisors, whose sum is σ = 191529468877824. Its totient is φ = 14924373970176.

The previous prime is 54609641535409. The next prime is 54609641535469. The reversal of 54609641535456 is 65453514690645.

54609641535456 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 9 + 6 + 41 + 535 + 4 + 56 = 666.

54609641535456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54609641535456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 54609641535393 and 54609641535402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65012920 + ... + 65847543.

Almost surely, 2^{54609641535456} is an apocalyptic number.

54609641535456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54609641535456 is an abundant number, since it is smaller than the sum of its proper divisors (136919827342368).

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

54609641535456 is a wasteful number, since it uses less digits than its factorization.

54609641535456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130860515 (or 130860498 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 54609641535456 in words is "fifty-four trillion, six hundred nine billion, six hundred forty-one million, five hundred thirty-five thousand, four hundred fifty-six".