1154987432256 has 224 divisors, whose sum is σ = 3720575093760. Its totient is φ = 308861005824.

The previous prime is 1154987432251. The next prime is 1154987432279. The reversal of 1154987432256 is 6522347894511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 1154987432196 and 1154987432205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154987432251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1847020 + ... + 2391956.

It is an arithmetic number, because the mean of its divisors is an integer number (16609710240).

Almost surely, 2^{1154987432256} is an apocalyptic number.

1154987432256 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 1154987432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860287546880).

1154987432256 is an abundant number, since it is smaller than the sum of its proper divisors (2565587661504).

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

1154987432256 is a wasteful number, since it uses less digits than its factorization.

1154987432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545061 (or 545051 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 1154987432256 in words is "one trillion, one hundred fifty-four billion, nine hundred eighty-seven million, four hundred thirty-two thousand, two hundred fifty-six".