56354960862144 has 224 divisors, whose sum is σ = 189350530112000. Its totient is φ = 16100584980480.

The previous prime is 56354960862143. The next prime is 56354960862199. The reversal of 56354960862144 is 44126806945365.

It is a happy number.

56354960862144 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 4 + 9 + 608 + 6 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×56354960862144² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (56354960862143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256458432 + ... + 256678080.

Almost surely, 2^{56354960862144} is an apocalyptic number.

56354960862144 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 56354960862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94675265056000).

56354960862144 is an abundant number, since it is smaller than the sum of its proper divisors (132995569249856).

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

56354960862144 is a wasteful number, since it uses less digits than its factorization.

56354960862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240888 (or 240872 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 56354960862144 in words is "fifty-six trillion, three hundred fifty-four billion, nine hundred sixty million, eight hundred sixty-two thousand, one hundred forty-four".