45900346690000 has 200 divisors, whose sum is σ = 121245272118432. Its totient is φ = 16689207360000.

The previous prime is 45900346689983. The next prime is 45900346690069. The reversal of 45900346690000 is 9664300954.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×45900346690000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1387413459 + ... + 1387446541.

Almost surely, 2^{45900346690000} is an apocalyptic number.

45900346690000 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 45900346690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60622636059216).

45900346690000 is an abundant number, since it is smaller than the sum of its proper divisors (75344925428432).

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

45900346690000 is a wasteful number, since it uses less digits than its factorization.

45900346690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45735 (or 45714 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 45900346690000 in words is "forty-five trillion, nine hundred billion, three hundred forty-six million, six hundred ninety thousand".