1690153650432 has 432 divisors, whose sum is σ = 5352522529536. Its totient is φ = 509773824000.

The previous prime is 1690153650413. The next prime is 1690153650443. The reversal of 1690153650432 is 2340563510961.

1690153650432 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 153 + 65 + 0 + 432 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384910957 + ... + 384915347.

It is an arithmetic number, because the mean of its divisors is an integer number (12390098448).

Almost surely, 2^{1690153650432} is an apocalyptic number.

1690153650432 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 1690153650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676261264768).

1690153650432 is an abundant number, since it is smaller than the sum of its proper divisors (3662368879104).

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

1690153650432 is a wasteful number, since it uses less digits than its factorization.

1690153650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1690153650432 in words is "one trillion, six hundred ninety billion, one hundred fifty-three million, six hundred fifty thousand, four hundred thirty-two".