45294854987520 has 1152 divisors, whose sum is σ = 174544191360000. Its totient is φ = 11078409388032.

The previous prime is 45294854987509. The next prime is 45294854987539. The reversal of 45294854987520 is 2578945849254.

45294854987520 is a `hidden beast` number, since 4 + 5 + 2 + 9 + 4 + 8 + 5 + 4 + 98 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12606414844 + ... + 12606418436.

It is an arithmetic number, because the mean of its divisors is an integer number (151514055000).

Almost surely, 2^{45294854987520} is an apocalyptic number.

45294854987520 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 45294854987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272095680000).

45294854987520 is an abundant number, since it is smaller than the sum of its proper divisors (129249336372480).

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

45294854987520 is a wasteful number, since it uses less digits than its factorization.

45294854987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 45294854987520 in words is "forty-five trillion, two hundred ninety-four billion, eight hundred fifty-four million, nine hundred eighty-seven thousand, five hundred twenty".