54131568436764 has 288 divisors, whose sum is σ = 171166220184960. Its totient is φ = 14044378005504.

The previous prime is 54131568436679. The next prime is 54131568436793. The reversal of 54131568436764 is 46763486513145.

54131568436764 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 1 + 568 + 4 + 3 + 6 + 7 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56966892 + ... + 57909324.

It is an arithmetic number, because the mean of its divisors is an integer number (594327153420).

Almost surely, 2^{54131568436764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54131568436764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85583110092480).

54131568436764 is an abundant number, since it is smaller than the sum of its proper divisors (117034651748196).

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

54131568436764 is a wasteful number, since it uses less digits than its factorization.

54131568436764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942749 (or 942744 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 54131568436764 in words is "fifty-four trillion, one hundred thirty-one billion, five hundred sixty-eight million, four hundred thirty-six thousand, seven hundred sixty-four".