54233871886656 has 1344 divisors, whose sum is σ = 212679584962560. Its totient is φ = 13161650135040.

The previous prime is 54233871886651. The next prime is 54233871886687. The reversal of 54233871886656 is 65668817833245.

54233871886656 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 387 + 188 + 6 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54233871886651) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3506417035 + ... + 3506432501.

Almost surely, 2^{54233871886656} is an apocalyptic number.

54233871886656 is a gapful number since it is divisible by the number (56) 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 54233871886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106339792481280).

54233871886656 is an abundant number, since it is smaller than the sum of its proper divisors (158445713075904).

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

54233871886656 is a wasteful number, since it uses less digits than its factorization.

54233871886656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15617 (or 15582 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 54233871886656 in words is "fifty-four trillion, two hundred thirty-three billion, eight hundred seventy-one million, eight hundred eighty-six thousand, six hundred fifty-six".