54348100165632 has 896 divisors, whose sum is σ = 186465360936960. Its totient is φ = 13694226923520.

The previous prime is 54348100165609. The next prime is 54348100165651. The reversal of 54348100165632 is 23656100184345.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×54348100165632² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5476977823 + ... + 5476987745.

It is an arithmetic number, because the mean of its divisors is an integer number (208108661760).

Almost surely, 2^{54348100165632} is an apocalyptic number.

54348100165632 is a gapful number since it is divisible by the number (52) 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 54348100165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93232680468480).

54348100165632 is an abundant number, since it is smaller than the sum of its proper divisors (132117260771328).

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

54348100165632 is a wasteful number, since it uses less digits than its factorization.

54348100165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 54348100165632 in words is "fifty-four trillion, three hundred forty-eight billion, one hundred million, one hundred sixty-five thousand, six hundred thirty-two".