1961431193568 has 288 divisors, whose sum is σ = 6918206174208. Its totient is φ = 479494041600.

The previous prime is 1961431193567. The next prime is 1961431193581. The reversal of 1961431193568 is 8653911341691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961431193563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235248 + ... + 1994543.

It is an arithmetic number, because the mean of its divisors is an integer number (24021549216).

Almost surely, 2^{1961431193568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961431193568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459103087104).

1961431193568 is an abundant number, since it is smaller than the sum of its proper divisors (4956774980640).

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

1961431193568 is a wasteful number, since it uses less digits than its factorization.

1961431193568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229846 (or 2229831 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The spelling of 1961431193568 in words is "one trillion, nine hundred sixty-one billion, four hundred thirty-one million, one hundred ninety-three thousand, five hundred sixty-eight".