45516690221184 has 1152 divisors, whose sum is σ = 175281230292480. Its totient is φ = 11057607475200.

The previous prime is 45516690221131. The next prime is 45516690221237. The reversal of 45516690221184 is 48112209661554.

It is a happy number.

45516690221184 is a `hidden beast` number, since 4 + 5 + 516 + 6 + 9 + 0 + 2 + 2 + 118 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45516690221131) and next prime (45516690221237).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 45516690221184.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1088869084 + ... + 1088910884.

It is an arithmetic number, because the mean of its divisors is an integer number (152153845740).

Almost surely, 2^{45516690221184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45516690221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87640615146240).

45516690221184 is an abundant number, since it is smaller than the sum of its proper divisors (129764540071296).

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

45516690221184 is a wasteful number, since it uses less digits than its factorization.

45516690221184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41918 (or 41890 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 45516690221184 in words is "forty-five trillion, five hundred sixteen billion, six hundred ninety million, two hundred twenty-one thousand, one hundred eighty-four".