54467634816 has 480 divisors, whose sum is σ = 195114060900. Its totient is φ = 15021490176.

The previous prime is 54467634811. The next prime is 54467634841. The reversal of 54467634816 is 61843676445.

54467634816 is a `hidden beast` number, since 5 + 44 + 67 + 63 + 481 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51667108416 + 2800526400 = 227304^2 + 52920^2 .

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 (54467634811) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14731080 + ... + 14734776.

Almost surely, 2^54467634816 is an apocalyptic number.

54467634816 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 54467634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97557030450).

54467634816 is an abundant number, since it is smaller than the sum of its proper divisors (140646426084).

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

54467634816 is a wasteful number, since it uses less digits than its factorization.

54467634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3738 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 54467634816 in words is "fifty-four billion, four hundred sixty-seven million, six hundred thirty-four thousand, eight hundred sixteen".