45101257850880 has 2128 divisors, whose sum is σ = 202665631261824. Its totient is φ = 9356401704960.

The previous prime is 45101257850827. The next prime is 45101257850899. The reversal of 45101257850880 is 8805875210154.

It is a happy number.

45101257850880 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 1 + 2 + 57 + 8 + 508 + 80 = 666.

It is a super-3 number, since 3×45101257850880³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 73574645454 + ... + 73574646066.

Almost surely, 2^{45101257850880} is an apocalyptic number.

45101257850880 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 45101257850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101332815630912).

45101257850880 is an abundant number, since it is smaller than the sum of its proper divisors (157564373410944).

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

45101257850880 is an frugal number, since it uses more digits than its factorization.

45101257850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 54.

The spelling of 45101257850880 in words is "forty-five trillion, one hundred one billion, two hundred fifty-seven million, eight hundred fifty thousand, eight hundred eighty".