1138864669600 has 576 divisors, whose sum is σ = 3366225547776. Its totient is φ = 367840788480.

The previous prime is 1138864669567. The next prime is 1138864669633. The reversal of 1138864669600 is 69664688311.

It is an interprime number because it is at equal distance from previous prime (1138864669567) and next prime (1138864669633).

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, 4111424662 + ... + 4111424938.

It is an arithmetic number, because the mean of its divisors is an integer number (5844141576).

Almost surely, 2^{1138864669600} is an apocalyptic number.

1138864669600 is a gapful number since it is divisible by the number (10) 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 1138864669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683112773888).

1138864669600 is an abundant number, since it is smaller than the sum of its proper divisors (2227360878176).

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

1138864669600 is a wasteful number, since it uses less digits than its factorization.

1138864669600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 1138864669600 in words is "one trillion, one hundred thirty-eight billion, eight hundred sixty-four million, six hundred sixty-nine thousand, six hundred".