1137146246016 has 256 divisors, whose sum is σ = 3491802328320. Its totient is φ = 324056678400.

The previous prime is 1137146245979. The next prime is 1137146246021. The reversal of 1137146246016 is 6106426417311.

It is a congruent number.

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, 99161115 + ... + 99172581.

It is an arithmetic number, because the mean of its divisors is an integer number (13639852845).

Almost surely, 2^{1137146246016} is an apocalyptic number.

1137146246016 is a gapful number since it is divisible by the number (16) 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 1137146246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745901164160).

1137146246016 is an abundant number, since it is smaller than the sum of its proper divisors (2354656082304).

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

1137146246016 is a wasteful number, since it uses less digits than its factorization.

1137146246016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12893 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1137146246016 in words is "one trillion, one hundred thirty-seven billion, one hundred forty-six million, two hundred forty-six thousand, sixteen".