10118849749488 has 160 divisors (see below), whose sum is σ = 29984915128320. Its totient is φ = 3263803441920.

The previous prime is 10118849749447. The next prime is 10118849749513. The reversal of 10118849749488 is 88494794881101.

10118849749488 is a `hidden beast` number, since 1 + 0 + 1 + 18 + 8 + 4 + 97 + 49 + 488 = 666.

It is a super-2 number, since 2×10118849749488² (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 148844881 + ... + 148912847.

It is an arithmetic number, because the mean of its divisors is an integer number (187405719552).

Almost surely, 2^{10118849749488} is an apocalyptic number.

10118849749488 is a gapful number since it is divisible by the number (18) 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 10118849749488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992457564160).

10118849749488 is an abundant number, since it is smaller than the sum of its proper divisors (19866065378832).

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

10118849749488 is a wasteful number, since it uses less digits than its factorization.

10118849749488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79132 (or 79120 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 10118849749488 in words is "ten trillion, one hundred eighteen billion, eight hundred forty-nine million, seven hundred forty-nine thousand, four hundred eighty-eight".