48950549544960 has 3456 divisors, whose sum is σ = 222310517950080. Its totient is φ = 10273695989760.

The previous prime is 48950549544937. The next prime is 48950549544973. The reversal of 48950549544960 is 6944594505984.

48950549544960 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 0 + 5 + 495 + 44 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×48950549544960² (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 congruent number.

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, 1193915842540 + ... + 1193915842580.

It is an arithmetic number, because the mean of its divisors is an integer number (64325960055).

Almost surely, 2^{48950549544960} is an apocalyptic number.

48950549544960 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 48950549544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111155258975040).

48950549544960 is an abundant number, since it is smaller than the sum of its proper divisors (173359968405120).

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

48950549544960 is an frugal number, since it uses more digits than its factorization.

48950549544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 48950549544960 in words is "forty-eight trillion, nine hundred fifty billion, five hundred forty-nine million, five hundred forty-four thousand, nine hundred sixty".