45454148640 has 144 divisors (see below), whose sum is σ = 155267520408. Its totient is φ = 12108976128.

The previous prime is 45454148581. The next prime is 45454148669. The reversal of 45454148640 is 4684145454.

45454148640 is a `hidden beast` number, since 4 + 5 + 4 + 541 + 48 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37786694544 + 7667454096 = 194388^2 + 87564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 1472242 + ... + 1502798.

Almost surely, 2^45454148640 is an apocalyptic number.

45454148640 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 45454148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77633760204).

45454148640 is an abundant number, since it is smaller than the sum of its proper divisors (109813371768).

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

45454148640 is a wasteful number, since it uses less digits than its factorization.

45454148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31611 (or 31600 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 45454148640 in words is "forty-five billion, four hundred fifty-four million, one hundred forty-eight thousand, six hundred forty".