45694661760000 has 3520 divisors, whose sum is σ = 198904730112000. Its totient is φ = 10236395520000.

The previous prime is 45694661759933. The next prime is 45694661760001. The reversal of 45694661760000 is 6716649654.

45694661760000 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 466 + 176 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×45694661760000² (a number of 28 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (45694661760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 255277439911 + ... + 255277440089.

It is an arithmetic number, because the mean of its divisors is an integer number (56507025600).

Almost surely, 2^{45694661760000} is an apocalyptic number.

45694661760000 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 45694661760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99452365056000).

45694661760000 is an abundant number, since it is smaller than the sum of its proper divisors (153210068352000).

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

45694661760000 is a wasteful number, since it uses less digits than its factorization.

45694661760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 45694661760000 in words is "forty-five trillion, six hundred ninety-four billion, six hundred sixty-one million, seven hundred sixty thousand".