48136121617584 has 640 divisors, whose sum is σ = 175901861560320. Its totient is φ = 10924197580800.

The previous prime is 48136121617567. The next prime is 48136121617601. The reversal of 48136121617584 is 48571612163184.

It is an interprime number because it is at equal distance from previous prime (48136121617567) and next prime (48136121617601).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1078126749 + ... + 1078171395.

It is an arithmetic number, because the mean of its divisors is an integer number (274846658688).

Almost surely, 2^{48136121617584} is an apocalyptic number.

48136121617584 is a gapful number since it is divisible by the number (44) 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 48136121617584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87950930780160).

48136121617584 is an abundant number, since it is smaller than the sum of its proper divisors (127765739942736).

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

48136121617584 is a wasteful number, since it uses less digits than its factorization.

48136121617584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45889 (or 45883 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The spelling of 48136121617584 in words is "forty-eight trillion, one hundred thirty-six billion, one hundred twenty-one million, six hundred seventeen thousand, five hundred eighty-four".