45347783040 has 640 divisors, whose sum is σ = 187534792800. Its totient is φ = 10355724288.

The previous prime is 45347783023. The next prime is 45347783057. The reversal of 45347783040 is 4038774354.

45347783040 is a `hidden beast` number, since 4 + 534 + 7 + 78 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (45347783023) and next prime (45347783057).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41488734 + ... + 41489826.

Almost surely, 2^45347783040 is an apocalyptic number.

45347783040 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 45347783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93767396400).

45347783040 is an abundant number, since it is smaller than the sum of its proper divisors (142187009760).

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

45347783040 is an equidigital number, since it uses as much as digits as its factorization.

45347783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 45347783040 in words is "forty-five billion, three hundred forty-seven million, seven hundred eighty-three thousand, forty".