48609847014400 has 528 divisors, whose sum is σ = 141318393793920. Its totient is φ = 16233696460800.

The previous prime is 48609847014397. The next prime is 48609847014403. The reversal of 48609847014400 is 441074890684.

It is an interprime number because it is at equal distance from previous prime (48609847014397) and next prime (48609847014403).

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48609847014403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320147990 + ... + 1320184810.

Almost surely, 2^{48609847014400} is an apocalyptic number.

48609847014400 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 48609847014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70659196896960).

48609847014400 is an abundant number, since it is smaller than the sum of its proper divisors (92708546779520).

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

48609847014400 is a wasteful number, since it uses less digits than its factorization.

48609847014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37050 (or 37027 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 48609847014400 in words is "forty-eight trillion, six hundred nine billion, eight hundred forty-seven million, fourteen thousand, four hundred".