1149956398080 has 1056 divisors, whose sum is σ = 4798665830400. Its totient is φ = 254259855360.

The previous prime is 1149956398027. The next prime is 1149956398081. The reversal of 1149956398080 is 808936599411.

1149956398080 is a `hidden beast` number, since 1 + 1 + 499 + 5 + 63 + 9 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1149956397999 and 1149956398017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149956398081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 489967467 + ... + 489969813.

Almost surely, 2^{1149956398080} is an apocalyptic number.

1149956398080 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 1149956398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399332915200).

1149956398080 is an abundant number, since it is smaller than the sum of its proper divisors (3648709432320).

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

1149956398080 is a wasteful number, since it uses less digits than its factorization.

1149956398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1149956398080 in words is "one trillion, one hundred forty-nine billion, nine hundred fifty-six million, three hundred ninety-eight thousand, eighty".