1930415646432 has 192 divisors, whose sum is σ = 6237715115520. Its totient is φ = 509039990784.

The previous prime is 1930415646373. The next prime is 1930415646473. The reversal of 1930415646432 is 2346465140391.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 72224623 + ... + 72251345.

It is an arithmetic number, because the mean of its divisors is an integer number (32488099560).

Almost surely, 2^{1930415646432} is an apocalyptic number.

1930415646432 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 1930415646432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118857557760).

1930415646432 is an abundant number, since it is smaller than the sum of its proper divisors (4307299469088).

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

1930415646432 is a wasteful number, since it uses less digits than its factorization.

1930415646432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35025 (or 35017 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 1930415646432 in words is "one trillion, nine hundred thirty billion, four hundred fifteen million, six hundred forty-six thousand, four hundred thirty-two".