45233401098240 has 624 divisors, whose sum is σ = 168156778027680. Its totient is φ = 11211728486400.

The previous prime is 45233401098239. The next prime is 45233401098257. The reversal of 45233401098240 is 4289010433254.

45233401098240 is a `hidden beast` number, since 4 + 5 + 233 + 401 + 0 + 9 + 8 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185488390 + ... + 185732090.

It is an arithmetic number, because the mean of its divisors is an integer number (269482016070).

Almost surely, 2^{45233401098240} is an apocalyptic number.

45233401098240 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 45233401098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84078389013840).

45233401098240 is an abundant number, since it is smaller than the sum of its proper divisors (122923376929440).

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

45233401098240 is a wasteful number, since it uses less digits than its factorization.

45233401098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243808 (or 243783 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45233401098240 in words is "forty-five trillion, two hundred thirty-three billion, four hundred one million, ninety-eight thousand, two hundred forty".