1610147113632 has 432 divisors, whose sum is σ = 5282036428032. Its totient is φ = 463104552960.

The previous prime is 1610147113621. The next prime is 1610147113633. The reversal of 1610147113632 is 2363117410161.

1610147113632 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 1 + 4 + 7 + 1 + 13 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1610147113633) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54776443 + ... + 54805829.

It is an arithmetic number, because the mean of its divisors is an integer number (12226936176).

Almost surely, 2^{1610147113632} is an apocalyptic number.

1610147113632 is a gapful number since it is divisible by the number (12) 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 1610147113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641018214016).

1610147113632 is an abundant number, since it is smaller than the sum of its proper divisors (3671889314400).

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

1610147113632 is a wasteful number, since it uses less digits than its factorization.

1610147113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29489 (or 29459 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1610147113632 in words is "one trillion, six hundred ten billion, one hundred forty-seven million, one hundred thirteen thousand, six hundred thirty-two".