45968119900560 has 960 divisors, whose sum is σ = 195573957465600. Its totient is φ = 9839313285120.

The previous prime is 45968119900559. The next prime is 45968119900561. The reversal of 45968119900560 is 6500991186954.

45968119900560 is a `hidden beast` number, since 4 + 5 + 9 + 68 + 1 + 1 + 9 + 9 + 0 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (45968119900559) and next prime (45968119900561).

It is a super-2 number, since 2×45968119900560² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45968119900561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77852526 + ... + 78440754.

It is an arithmetic number, because the mean of its divisors is an integer number (203722872360).

Almost surely, 2^{45968119900560} is an apocalyptic number.

45968119900560 is a gapful number since it is divisible by the number (40) 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 45968119900560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97786978732800).

45968119900560 is an abundant number, since it is smaller than the sum of its proper divisors (149605837565040).

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

45968119900560 is a wasteful number, since it uses less digits than its factorization.

45968119900560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588309 (or 588286 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 45968119900560 in words is "forty-five trillion, nine hundred sixty-eight billion, one hundred nineteen million, nine hundred thousand, five hundred sixty".