45506649968640 has 1456 divisors, whose sum is σ = 187686582997248. Its totient is φ = 10370011889664.

The previous prime is 45506649968639. The next prime is 45506649968677. The reversal of 45506649968640 is 4686994660554.

45506649968640 is a `hidden beast` number, since 4 + 5 + 50 + 6 + 6 + 499 + 6 + 86 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 67617607344 + ... + 67617608016.

Almost surely, 2^{45506649968640} is an apocalyptic number.

45506649968640 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 45506649968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93843291498624).

45506649968640 is an abundant number, since it is smaller than the sum of its proper divisors (142179933028608).

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

45506649968640 is an frugal number, since it uses more digits than its factorization.

45506649968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 45506649968640 in words is "forty-five trillion, five hundred six billion, six hundred forty-nine million, nine hundred sixty-eight thousand, six hundred forty".