1148837788100 has 72 divisors (see below), whose sum is σ = 2517706955400. Its totient is φ = 454998988800.

The previous prime is 1148837788073. The next prime is 1148837788129. The reversal of 1148837788100 is 18877388411.

It can be written as a sum of positive squares in 12 ways, for example, as 378687621376 + 770150166724 = 615376^2 + 877582^2 .

It is a super-2 number, since 2×1148837788100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4006316 + ... + 4283484.

Almost surely, 2^{1148837788100} is an apocalyptic number.

1148837788100 is a gapful number since it is divisible by the number (10) 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 1148837788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258853477700).

1148837788100 is an abundant number, since it is smaller than the sum of its proper divisors (1368869167300).

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

1148837788100 is a wasteful number, since it uses less digits than its factorization.

1148837788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277593 (or 277586 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 56.

The spelling of 1148837788100 in words is "one trillion, one hundred forty-eight billion, eight hundred thirty-seven million, seven hundred eighty-eight thousand, one hundred".