1103116378364 has 576 divisors, whose sum is σ = 2947977984000. Its totient is φ = 349561681920.

The previous prime is 1103116378333. The next prime is 1103116378409. The reversal of 1103116378364 is 4638736113011.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 712146662 + ... + 712148210.

Almost surely, 2^{1103116378364} is an apocalyptic number.

1103116378364 is a gapful number since it is divisible by the number (14) 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 1103116378364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473988992000).

1103116378364 is an abundant number, since it is smaller than the sum of its proper divisors (1844861605636).

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

1103116378364 is a wasteful number, since it uses less digits than its factorization.

1103116378364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 1103116378364 in words is "one trillion, one hundred three billion, one hundred sixteen million, three hundred seventy-eight thousand, three hundred sixty-four".