1150434254816 has 96 divisors (see below), whose sum is σ = 2824952723712. Its totient is φ = 448037084160.

The previous prime is 1150434254797. The next prime is 1150434254821. The reversal of 1150434254816 is 6184524340511.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5984060 + ... + 6173316.

It is an arithmetic number, because the mean of its divisors is an integer number (29426590872).

Almost surely, 2^{1150434254816} is an apocalyptic number.

1150434254816 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 1150434254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412476361856).

1150434254816 is an abundant number, since it is smaller than the sum of its proper divisors (1674518468896).

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

1150434254816 is a wasteful number, since it uses less digits than its factorization.

1150434254816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191752 (or 191744 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 1150434254816 in words is "one trillion, one hundred fifty billion, four hundred thirty-four million, two hundred fifty-four thousand, eight hundred sixteen".