1145880637104 has 160 divisors (see below), whose sum is σ = 3563013460480. Its totient is φ = 309999384576.

The previous prime is 1145880637079. The next prime is 1145880637157. The reversal of 1145880637104 is 4017360885411.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 12293844 + ... + 12386700.

It is an arithmetic number, because the mean of its divisors is an integer number (22268834128).

Almost surely, 2^{1145880637104} is an apocalyptic number.

1145880637104 is a gapful number since it is divisible by the number (14) 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 1145880637104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781506730240).

1145880637104 is an abundant number, since it is smaller than the sum of its proper divisors (2417132823376).

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

1145880637104 is a wasteful number, since it uses less digits than its factorization.

1145880637104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94827 (or 94821 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 1145880637104 in words is "one trillion, one hundred forty-five billion, eight hundred eighty million, six hundred thirty-seven thousand, one hundred four".