46549783268352 has 2816 divisors, whose sum is σ = 184918106419200. Its totient is φ = 11236854988800.

The previous prime is 46549783268333. The next prime is 46549783268353. The reversal of 46549783268352 is 25386238794564.

46549783268352 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 9 + 7 + 8 + 3 + 268 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (46549783268353) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 116084247352 + ... + 116084247752.

It is an arithmetic number, because the mean of its divisors is an integer number (65666941200).

Almost surely, 2^{46549783268352} is an apocalyptic number.

46549783268352 is a gapful number since it is divisible by the number (42) 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 46549783268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92459053209600).

46549783268352 is an abundant number, since it is smaller than the sum of its proper divisors (138368323150848).

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

46549783268352 is a wasteful number, since it uses less digits than its factorization.

46549783268352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 535 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 46549783268352 in words is "forty-six trillion, five hundred forty-nine billion, seven hundred eighty-three million, two hundred sixty-eight thousand, three hundred fifty-two".