48612142656 has 1344 divisors, whose sum is σ = 198476006400. Its totient is φ = 11496038400.

The previous prime is 48612142609. The next prime is 48612142687. The reversal of 48612142656 is 65624121684.

It is a happy number.

48612142656 is a `hidden beast` number, since 4 + 8 + 612 + 1 + 4 + 26 + 5 + 6 = 666.

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

It is a super-3 number, since 3×48612142656³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 725554335 + ... + 725554401.

It is an arithmetic number, because the mean of its divisors is an integer number (147675600).

Almost surely, 2^48612142656 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 48612142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99238003200).

48612142656 is an abundant number, since it is smaller than the sum of its proper divisors (149863863744).

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

48612142656 is a wasteful number, since it uses less digits than its factorization.

48612142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 48612142656 in words is "forty-eight billion, six hundred twelve million, one hundred forty-two thousand, six hundred fifty-six".