48745588131840 has 384 divisors, whose sum is σ = 158500323072000. Its totient is φ = 12786613813248.

The previous prime is 48745588131809. The next prime is 48745588131871. The reversal of 48745588131840 is 4813188554784.

It is an interprime number because it is at equal distance from previous prime (48745588131809) and next prime (48745588131871).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×48745588131840² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479858091 + ... + 1479891029.

It is an arithmetic number, because the mean of its divisors is an integer number (412761258000).

Almost surely, 2^{48745588131840} is an apocalyptic number.

48745588131840 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 48745588131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79250161536000).

48745588131840 is an abundant number, since it is smaller than the sum of its proper divisors (109754734940160).

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

48745588131840 is a wasteful number, since it uses less digits than its factorization.

48745588131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33755 (or 33735 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 66.

The spelling of 48745588131840 in words is "forty-eight trillion, seven hundred forty-five billion, five hundred eighty-eight million, one hundred thirty-one thousand, eight hundred forty".