48692747445888 has 1920 divisors, whose sum is σ = 171155154297600. Its totient is φ = 12249342443520.

The previous prime is 48692747445877. The next prime is 48692747445911. The reversal of 48692747445888 is 88854474729684.

It is a Harshad number since it is a multiple of its sum of digits (84).

Its product of digits (27745320960) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 48692747445888.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 446722453578 + ... + 446722453686.

It is an arithmetic number, because the mean of its divisors is an integer number (89143309530).

Almost surely, 2^{48692747445888} is an apocalyptic number.

48692747445888 is a gapful number since it is divisible by the number (48) 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 48692747445888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85577577148800).

48692747445888 is an abundant number, since it is smaller than the sum of its proper divisors (122462406851712).

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

48692747445888 is a wasteful number, since it uses less digits than its factorization.

48692747445888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 242 counting only the distinct ones).

The product of its digits is 27745320960, while the sum is 84.

The spelling of 48692747445888 in words is "forty-eight trillion, six hundred ninety-two billion, seven hundred forty-seven million, four hundred forty-five thousand, eight hundred eighty-eight".