54665600106612 has 192 divisors, whose sum is σ = 145093939200000. Its totient is φ = 15868490880000.

The previous prime is 54665600106589. The next prime is 54665600106673. The reversal of 54665600106612 is 21660100656645.

54665600106612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54665600106612² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2082565264 + ... + 2082591512.

It is an arithmetic number, because the mean of its divisors is an integer number (755697600000).

Almost surely, 2^{54665600106612} 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 54665600106612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72546969600000).

54665600106612 is an abundant number, since it is smaller than the sum of its proper divisors (90428339093388).

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

54665600106612 is a wasteful number, since it uses less digits than its factorization.

54665600106612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31438 (or 31436 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 54665600106612 in words is "fifty-four trillion, six hundred sixty-five billion, six hundred million, one hundred six thousand, six hundred twelve".