45470187846720 has 5376 divisors, whose sum is σ = 224105096355840. Its totient is φ = 8561413324800.

The previous prime is 45470187846673. The next prime is 45470187846773. The reversal of 45470187846720 is 2764878107454.

45470187846720 is a `hidden beast` number, since 4 + 5 + 4 + 70 + 1 + 87 + 8 + 467 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 176926800832 + ... + 176926801088.

It is an arithmetic number, because the mean of its divisors is an integer number (41686215840).

Almost surely, 2^{45470187846720} is an apocalyptic number.

45470187846720 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 45470187846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112052548177920).

45470187846720 is an abundant number, since it is smaller than the sum of its proper divisors (178634908509120).

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

45470187846720 is a wasteful number, since it uses less digits than its factorization.

45470187846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 45470187846720 in words is "forty-five trillion, four hundred seventy billion, one hundred eighty-seven million, eight hundred forty-six thousand, seven hundred twenty".