45864261840 has 80 divisors (see below), whose sum is σ = 143298828288. Its totient is φ = 12134158848.

The previous prime is 45864261829. The next prime is 45864261841. The reversal of 45864261840 is 4816246854.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45864261840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45864261841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721887 + ... + 782846.

Almost surely, 2^45864261840 is an apocalyptic number.

45864261840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45864261840 is an abundant number, since it is smaller than the sum of its proper divisors (97434566448).

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

45864261840 is a wasteful number, since it uses less digits than its factorization.

45864261840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504876 (or 1504870 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 45864261840 in words is "forty-five billion, eight hundred sixty-four million, two hundred sixty-one thousand, eight hundred forty".