48016932015360 has 1152 divisors, whose sum is σ = 200665644834816. Its totient is φ = 9488339435520.

The previous prime is 48016932015301. The next prime is 48016932015413. The reversal of 48016932015360 is 6351023961084.

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 127 ways as a sum of consecutive naturals, for example, 1176490314 + ... + 1176531126.

It is an arithmetic number, because the mean of its divisors is an integer number (174188927808).

Almost surely, 2^{48016932015360} is an apocalyptic number.

48016932015360 is a gapful number since it is divisible by the number (40) 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 48016932015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100332822417408).

48016932015360 is an abundant number, since it is smaller than the sum of its proper divisors (152648712819456).

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

48016932015360 is a wasteful number, since it uses less digits than its factorization.

48016932015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41051 (or 41037 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 48016932015360 in words is "forty-eight trillion, sixteen billion, nine hundred thirty-two million, fifteen thousand, three hundred sixty".