1148636079360 has 1944 divisors, whose sum is σ = 5177873701728. Its totient is φ = 234178560000.

The previous prime is 1148636079341. The next prime is 1148636079413. The reversal of 1148636079360 is 639706368411.

It is a happy number.

1148636079360 is a `hidden beast` number, since 1 + 1 + 486 + 3 + 60 + 79 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1148636079297 and 1148636079306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4576239235 + ... + 4576239485.

Almost surely, 2^{1148636079360} is an apocalyptic number.

1148636079360 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 1148636079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588936850864).

1148636079360 is an abundant number, since it is smaller than the sum of its proper divisors (4029237622368).

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

1148636079360 is a wasteful number, since it uses less digits than its factorization.

1148636079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1148636079360 in words is "one trillion, one hundred forty-eight billion, six hundred thirty-six million, seventy-nine thousand, three hundred sixty".