1631093139000 has 1024 divisors, whose sum is σ = 6574224384000. Its totient is φ = 370747238400.

The previous prime is 1631093138999. The next prime is 1631093139059. The reversal of 1631093139000 is 9313901361.

1631093139000 is a `hidden beast` number, since 1 + 631 + 0 + 9 + 3 + 13 + 9 + 0 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 234113517 + ... + 234120483.

It is an arithmetic number, because the mean of its divisors is an integer number (6420141000).

Almost surely, 2^{1631093139000} is an apocalyptic number.

1631093139000 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 1631093139000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287112192000).

1631093139000 is an abundant number, since it is smaller than the sum of its proper divisors (4943131245000).

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

1631093139000 is a wasteful number, since it uses less digits than its factorization.

1631093139000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7062 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The spelling of 1631093139000 in words is "one trillion, six hundred thirty-one billion, ninety-three million, one hundred thirty-nine thousand".