53643217251456 has 320 divisors, whose sum is σ = 186170677440000. Its totient is φ = 15326632484352.

The previous prime is 53643217251389. The next prime is 53643217251457. The reversal of 53643217251456 is 65415271234635.

53643217251456 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 3 + 2 + 1 + 72 + 514 + 56 = 666.

It is a super-2 number, since 2×53643217251456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53643217251457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3985936 + ... + 11098383.

It is an arithmetic number, because the mean of its divisors is an integer number (581783367000).

Almost surely, 2^{53643217251456} is an apocalyptic number.

53643217251456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

53643217251456 is an abundant number, since it is smaller than the sum of its proper divisors (132527460188544).

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

53643217251456 is an equidigital number, since it uses as much as digits as its factorization.

53643217251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15084366 (or 15084331 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 53643217251456 in words is "fifty-three trillion, six hundred forty-three billion, two hundred seventeen million, two hundred fifty-one thousand, four hundred fifty-six".