1610947331136 has 560 divisors, whose sum is σ = 5660146533888. Its totient is φ = 446603673600.

The previous prime is 1610947331111. The next prime is 1610947331137. The reversal of 1610947331136 is 6311337490161.

1610947331136 is a `hidden beast` number, since 1 + 6 + 10 + 9 + 473 + 31 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1610947331091 and 1610947331100.

It is not an unprimeable number, because it can be changed into a prime (1610947331137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83758641 + ... + 83777871.

Almost surely, 2^{1610947331136} is an apocalyptic number.

1610947331136 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 1610947331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830073266944).

1610947331136 is an abundant number, since it is smaller than the sum of its proper divisors (4049199202752).

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

1610947331136 is a wasteful number, since it uses less digits than its factorization.

1610947331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392 (or 19373 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1610947331136 in words is "one trillion, six hundred ten billion, nine hundred forty-seven million, three hundred thirty-one thousand, one hundred thirty-six".