456849345150 has 288 divisors, whose sum is σ = 1386194135040. Its totient is φ = 106867296000.

The previous prime is 456849345109. The next prime is 456849345157. The reversal of 456849345150 is 51543948654.

456849345150 is a `hidden beast` number, since 4 + 5 + 68 + 493 + 45 + 1 + 50 = 666.

It is a super-2 number, since 2×456849345150² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456849345157) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55084404 + ... + 55092696.

It is an arithmetic number, because the mean of its divisors is an integer number (4813174080).

Almost surely, 2^456849345150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456849345150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693097067520).

456849345150 is an abundant number, since it is smaller than the sum of its proper divisors (929344789890).

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

456849345150 is a wasteful number, since it uses less digits than its factorization.

456849345150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

Subtracting from 456849345150 its reverse (51543948654), we obtain a square (405305396496 = 636636²).

The spelling of 456849345150 in words is "four hundred fifty-six billion, eight hundred forty-nine million, three hundred forty-five thousand, one hundred fifty".