1138571716000 has 192 divisors, whose sum is σ = 2867788699776. Its totient is φ = 444019968000.

The previous prime is 1138571715961. The next prime is 1138571716031. The reversal of 1138571716000 is 6171758311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98206204 + ... + 98217796.

It is an arithmetic number, because the mean of its divisors is an integer number (14936399478).

Almost surely, 2^{1138571716000} is an apocalyptic number.

1138571716000 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 1138571716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433894349888).

1138571716000 is an abundant number, since it is smaller than the sum of its proper divisors (1729216983776).

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

1138571716000 is a wasteful number, since it uses less digits than its factorization.

1138571716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 1138571716000 in words is "one trillion, one hundred thirty-eight billion, five hundred seventy-one million, seven hundred sixteen thousand".