1149891628900 has 81 divisors (see below), whose sum is σ = 2902844504889. Its totient is φ = 394222822560.

The previous prime is 1149891628843. The next prime is 1149891628939. The reversal of 1149891628900 is 98261989411.

The square root of 1149891628900 is 1072330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 413960986404 + 735930642496 = 643398^2 + 857864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75055441 + ... + 75070759.

Almost surely, 2^{1149891628900} is an apocalyptic number.

1149891628900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1149891628900 is the 1072330-th square number.

It is an amenable number.

1149891628900 is an abundant number, since it is smaller than the sum of its proper divisors (1752952875989).

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

1149891628900 is an frugal number, since it uses more digits than its factorization.

1149891628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30666 (or 15333 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 58.

The spelling of 1149891628900 in words is "one trillion, one hundred forty-nine billion, eight hundred ninety-one million, six hundred twenty-eight thousand, nine hundred".