1148512115520 has 2240 divisors, whose sum is σ = 5540263280640. Its totient is φ = 218574028800.

The previous prime is 1148512115507. The next prime is 1148512115549. The reversal of 1148512115520 is 255112158411.

1148512115520 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 12 + 115 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1175549272 + ... + 1175550248.

Almost surely, 2^{1148512115520} is an apocalyptic number.

1148512115520 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 1148512115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770131640320).

1148512115520 is an abundant number, since it is smaller than the sum of its proper divisors (4391751165120).

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

1148512115520 is a wasteful number, since it uses less digits than its factorization.

1148512115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 36.

The spelling of 1148512115520 in words is "one trillion, one hundred forty-eight billion, five hundred twelve million, one hundred fifteen thousand, five hundred twenty".