1101509438064 has 80 divisors (see below), whose sum is σ = 3253512261888. Its totient is φ = 314577939456.

The previous prime is 1101509438041. The next prime is 1101509438173. The reversal of 1101509438064 is 4608349051011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38664 + ... + 1484760.

Almost surely, 2^{1101509438064} is an apocalyptic number.

1101509438064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1101509438064 is an abundant number, since it is smaller than the sum of its proper divisors (2152002823824).

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

1101509438064 is a wasteful number, since it uses less digits than its factorization.

1101509438064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448382 (or 1448376 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1101509438064 in words is "one trillion, one hundred one billion, five hundred nine million, four hundred thirty-eight thousand, sixty-four".