45019633140 has 144 divisors (see below), whose sum is σ = 143613025920. Its totient is φ = 11836056960.

The previous prime is 45019633123. The next prime is 45019633187. The reversal of 45019633140 is 4133691054.

45019633140 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 9 + 633 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45019633095 and 45019633104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279826 + ... + 410294.

It is an arithmetic number, because the mean of its divisors is an integer number (997312680).

Almost surely, 2^45019633140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45019633140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71806512960).

45019633140 is an abundant number, since it is smaller than the sum of its proper divisors (98593392780).

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

45019633140 is a wasteful number, since it uses less digits than its factorization.

45019633140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130564 (or 130550 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 45019633140 in words is "forty-five billion, nineteen million, six hundred thirty-three thousand, one hundred forty".