45101248657920 has 1920 divisors, whose sum is σ = 201113052940800. Its totient is φ = 9496034279424.

The previous prime is 45101248657909. The next prime is 45101248657931. The reversal of 45101248657920 is 2975684210154.

45101248657920 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 1 + 2 + 48 + 6 + 579 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (45101248657909) and next prime (45101248657931).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32009402176 + ... + 32009403584.

It is an arithmetic number, because the mean of its divisors is an integer number (104746381740).

Almost surely, 2^{45101248657920} is an apocalyptic number.

45101248657920 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 45101248657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100556526470400).

45101248657920 is an abundant number, since it is smaller than the sum of its proper divisors (156011804282880).

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

45101248657920 is a wasteful number, since it uses less digits than its factorization.

45101248657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 45101248657920 in words is "forty-five trillion, one hundred one billion, two hundred forty-eight million, six hundred fifty-seven thousand, nine hundred twenty".