45811059840 has 1344 divisors, whose sum is σ = 205651535040. Its totient is φ = 9549176832.

The previous prime is 45811059839. The next prime is 45811059949. The reversal of 45811059840 is 4895011854.

It is a happy number.

45811059840 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 10 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 551940439 + ... + 551940521.

It is an arithmetic number, because the mean of its divisors is an integer number (153014535).

Almost surely, 2^45811059840 is an apocalyptic number.

45811059840 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 45811059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102825767520).

45811059840 is an abundant number, since it is smaller than the sum of its proper divisors (159840475200).

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

45811059840 is an equidigital number, since it uses as much as digits as its factorization.

45811059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 45811059840 in words is "forty-five billion, eight hundred eleven million, fifty-nine thousand, eight hundred forty".