48756147297480 has 768 divisors, whose sum is σ = 192439777536000. Its totient is φ = 10755706590720.

The previous prime is 48756147297479. The next prime is 48756147297551. The reversal of 48756147297480 is 8479274165784.

48756147297480 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 6 + 1 + 472 + 9 + 74 + 80 = 666.

It is a super-2 number, since 2×48756147297480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48756147297399 and 48756147297408.

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, 2753486787 + ... + 2753504493.

It is an arithmetic number, because the mean of its divisors is an integer number (250572627000).

Almost surely, 2^{48756147297480} is an apocalyptic number.

48756147297480 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 48756147297480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96219888768000).

48756147297480 is an abundant number, since it is smaller than the sum of its proper divisors (143683630238520).

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

48756147297480 is a wasteful number, since it uses less digits than its factorization.

48756147297480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18175 (or 18134 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 48756147297480 in words is "forty-eight trillion, seven hundred fifty-six billion, one hundred forty-seven million, two hundred ninety-seven thousand, four hundred eighty".