48940188557832 has 1024 divisors, whose sum is σ = 164242391040000. Its totient is φ = 13308101452800.

The previous prime is 48940188557809. The next prime is 48940188557873. The reversal of 48940188557832 is 23875588104984.

48940188557832 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 0 + 18 + 8 + 5 + 578 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55424901663 + ... + 55424902545.

It is an arithmetic number, because the mean of its divisors is an integer number (160392960000).

Almost surely, 2^{48940188557832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48940188557832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82121195520000).

48940188557832 is an abundant number, since it is smaller than the sum of its proper divisors (115302202482168).

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

48940188557832 is a wasteful number, since it uses less digits than its factorization.

48940188557832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 48940188557832 in words is "forty-eight trillion, nine hundred forty billion, one hundred eighty-eight million, five hundred fifty-seven thousand, eight hundred thirty-two".