45404346834 has 96 divisors (see below), whose sum is σ = 123616935936. Its totient is φ = 11700430560.

The previous prime is 45404346821. The next prime is 45404346839. The reversal of 45404346834 is 43864340454.

45404346834 is a `hidden beast` number, since 4 + 540 + 43 + 4 + 68 + 3 + 4 = 666.

45404346834 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 2×45404346834² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45404346834.

It is not an unprimeable number, because it can be changed into a prime (45404346839) 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, 47049 + ... + 304995.

It is an arithmetic number, because the mean of its divisors is an integer number (1287676416).

Almost surely, 2^45404346834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45404346834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61808467968).

45404346834 is an abundant number, since it is smaller than the sum of its proper divisors (78212589102).

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

45404346834 is a wasteful number, since it uses less digits than its factorization.

45404346834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258100 (or 258097 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 45404346834 in words is "forty-five billion, four hundred four million, three hundred forty-six thousand, eight hundred thirty-four".