45461759400960 has 704 divisors, whose sum is σ = 167240421411840. Its totient is φ = 10325057863680.

The previous prime is 45461759400913. The next prime is 45461759400983. The reversal of 45461759400960 is 6900495716454.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 45461759400894 and 45461759400903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18353555242 + ... + 18353557718.

Almost surely, 2^{45461759400960} is an apocalyptic number.

45461759400960 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 45461759400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83620210705920).

45461759400960 is an abundant number, since it is smaller than the sum of its proper divisors (121778662010880).

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

45461759400960 is a wasteful number, since it uses less digits than its factorization.

45461759400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 45461759400960 in words is "forty-five trillion, four hundred sixty-one billion, seven hundred fifty-nine million, four hundred thousand, nine hundred sixty".