1149232363776 has 432 divisors, whose sum is σ = 4016385434880. Its totient is φ = 308921057280.

The previous prime is 1149232363759. The next prime is 1149232363793. The reversal of 1149232363776 is 6773632329411.

1149232363776 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 232 + 36 + 377 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1149232363759) and next prime (1149232363793).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22602190 + ... + 22652978.

Almost surely, 2^{1149232363776} is an apocalyptic number.

1149232363776 is a gapful number since it is divisible by the number (16) 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 1149232363776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008192717440).

1149232363776 is an abundant number, since it is smaller than the sum of its proper divisors (2867153071104).

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

1149232363776 is a wasteful number, since it uses less digits than its factorization.

1149232363776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50902 (or 50885 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 1149232363776 in words is "one trillion, one hundred forty-nine billion, two hundred thirty-two million, three hundred sixty-three thousand, seven hundred seventy-six".