45961683768 has 256 divisors, whose sum is σ = 171419673600. Its totient is φ = 11019732480.

The previous prime is 45961683767. The next prime is 45961683773. The reversal of 45961683768 is 86738616954.

45961683768 is a `hidden beast` number, since 4 + 5 + 9 + 616 + 8 + 3 + 7 + 6 + 8 = 666.

45961683768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45961683768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45961683767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109930 + ... + 322502.

It is an arithmetic number, because the mean of its divisors is an integer number (669608100).

Almost surely, 2^45961683768 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 45961683768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85709836800).

45961683768 is an abundant number, since it is smaller than the sum of its proper divisors (125457989832).

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

45961683768 is a wasteful number, since it uses less digits than its factorization.

45961683768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212619 (or 212609 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 45961683768 in words is "forty-five billion, nine hundred sixty-one million, six hundred eighty-three thousand, seven hundred sixty-eight".