1101149149968 has 480 divisors, whose sum is σ = 3673077408000. Its totient is φ = 307712950272.

The previous prime is 1101149149939. The next prime is 1101149150011. The reversal of 1101149149968 is 8699419411011.

1101149149968 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 4 + 91 + 499 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1431923088 + ... + 1431923856.

It is an arithmetic number, because the mean of its divisors is an integer number (7652244600).

Almost surely, 2^{1101149149968} is an apocalyptic number.

1101149149968 is a gapful number since it is divisible by the number (18) 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 1101149149968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836538704000).

1101149149968 is an abundant number, since it is smaller than the sum of its proper divisors (2571928258032).

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

1101149149968 is a wasteful number, since it uses less digits than its factorization.

1101149149968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 1101149149968 in words is "one trillion, one hundred one billion, one hundred forty-nine million, one hundred forty-nine thousand, nine hundred sixty-eight".