48064544415360 has 1024 divisors, whose sum is σ = 196744050316800. Its totient is φ = 10960109568000.

The previous prime is 48064544415299. The next prime is 48064544415431. The reversal of 48064544415360 is 6351444546084.

48064544415360 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 4 + 544 + 41 + 53 + 6 + 0 = 666.

It is a super-3 number, since 3×48064544415360³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48064544415297 and 48064544415306.

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, 7370728900 + ... + 7370735420.

Almost surely, 2^{48064544415360} is an apocalyptic number.

48064544415360 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 48064544415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98372025158400).

48064544415360 is an abundant number, since it is smaller than the sum of its proper divisors (148679505901440).

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

48064544415360 is a wasteful number, since it uses less digits than its factorization.

48064544415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8858 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 48064544415360 in words is "forty-eight trillion, sixty-four billion, five hundred forty-four million, four hundred fifteen thousand, three hundred sixty".