456061650156 has 192 divisors, whose sum is σ = 1375678080000. Its totient is φ = 127971740160.

The previous prime is 456061650059. The next prime is 456061650217. The reversal of 456061650156 is 651056160654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10002571 + ... + 10048061.

It is an arithmetic number, because the mean of its divisors is an integer number (7164990000).

Almost surely, 2^456061650156 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 456061650156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687839040000).

456061650156 is an abundant number, since it is smaller than the sum of its proper divisors (919616429844).

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

456061650156 is a wasteful number, since it uses less digits than its factorization.

456061650156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45749 (or 45741 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 456061650156 in words is "four hundred fifty-six billion, sixty-one million, six hundred fifty thousand, one hundred fifty-six".