1349158488100 has 72 divisors (see below), whose sum is σ = 3055230077760. Its totient is φ = 516154826880.

The previous prime is 1349158488079. The next prime is 1349158488137. The reversal of 1349158488100 is 18848519431.

It is a super-2 number, since 2×1349158488100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40102086 + ... + 40135714.

It is an arithmetic number, because the mean of its divisors is an integer number (42433751080).

Almost surely, 2^{1349158488100} is an apocalyptic number.

1349158488100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349158488100 is an abundant number, since it is smaller than the sum of its proper divisors (1706071589660).

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

1349158488100 is a wasteful number, since it uses less digits than its factorization.

1349158488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51109 (or 51102 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 1349158488100 in words is "one trillion, three hundred forty-nine billion, one hundred fifty-eight million, four hundred eighty-eight thousand, one hundred".