45966152061648 has 1200 divisors, whose sum is σ = 172040413708800. Its totient is φ = 11348735827968.

The previous prime is 45966152061647. The next prime is 45966152061671. The reversal of 45966152061648 is 84616025166954.

45966152061648 is a `hidden beast` number, since 4 + 5 + 9 + 6 + 6 + 1 + 5 + 2 + 0 + 616 + 4 + 8 = 666.

It is a super-2 number, since 2×45966152061648² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45966152061647) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15205473865 + ... + 15205476887.

It is an arithmetic number, because the mean of its divisors is an integer number (143367011424).

Almost surely, 2^{45966152061648} is an apocalyptic number.

45966152061648 is a gapful number since it is divisible by the number (48) 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 45966152061648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86020206854400).

45966152061648 is an abundant number, since it is smaller than the sum of its proper divisors (126074261647152).

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

45966152061648 is a wasteful number, since it uses less digits than its factorization.

45966152061648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 45966152061648 in words is "forty-five trillion, nine hundred sixty-six billion, one hundred fifty-two million, sixty-one thousand, six hundred forty-eight".