45954035946 has 192 divisors, whose sum is σ = 125536739328. Its totient is φ = 11826307584.

The previous prime is 45954035917. The next prime is 45954035957. The reversal of 45954035946 is 64953045954.

45954035946 is a `hidden beast` number, since 4 + 5 + 9 + 5 + 40 + 3 + 594 + 6 = 666.

45954035946 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 2×45954035946² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45954035892 and 45954035901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17101015 + ... + 17103701.

It is an arithmetic number, because the mean of its divisors is an integer number (653837184).

Almost surely, 2^45954035946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45954035946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62768369664).

45954035946 is an abundant number, since it is smaller than the sum of its proper divisors (79582703382).

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

45954035946 is a wasteful number, since it uses less digits than its factorization.

45954035946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 45954035946 in words is "forty-five billion, nine hundred fifty-four million, thirty-five thousand, nine hundred forty-six".