1145737586448 has 160 divisors (see below), whose sum is σ = 4047620102400. Its totient is φ = 302172539904.

The previous prime is 1145737586303. The next prime is 1145737586453. The reversal of 1145737586448 is 8446857375411.

1145737586448 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 7 + 3 + 7 + 586 + 4 + 48 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14533053 + ... + 14611676.

It is an arithmetic number, because the mean of its divisors is an integer number (25297625640).

Almost surely, 2^{1145737586448} is an apocalyptic number.

1145737586448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1145737586448 is an abundant number, since it is smaller than the sum of its proper divisors (2901882515952).

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

1145737586448 is a wasteful number, since it uses less digits than its factorization.

1145737586448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29144766 (or 29144754 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 1145737586448 in words is "one trillion, one hundred forty-five billion, seven hundred thirty-seven million, five hundred eighty-six thousand, four hundred forty-eight".