1101116157408 has 96 divisors (see below), whose sum is σ = 3212292787200. Its totient is φ = 366958263168.

The previous prime is 1101116157391. The next prime is 1101116157413. The reversal of 1101116157408 is 8047516111011.

1101116157408 is a `hidden beast` number, since 1 + 10 + 1 + 11 + 61 + 574 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3870735 + ... + 4145457.

It is an arithmetic number, because the mean of its divisors is an integer number (33461383200).

Almost surely, 2^{1101116157408} is an apocalyptic number.

1101116157408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1101116157408 is an abundant number, since it is smaller than the sum of its proper divisors (2111176629792).

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

1101116157408 is a wasteful number, since it uses less digits than its factorization.

1101116157408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279381 (or 279367 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 36.

The spelling of 1101116157408 in words is "one trillion, one hundred one billion, one hundred sixteen million, one hundred fifty-seven thousand, four hundred eight".