456245160201501 has 32 divisors (see below), whose sum is σ = 666218273753088. Its totient is φ = 275433510973440.

The previous prime is 456245160201499. The next prime is 456245160201503. The reversal of 456245160201501 is 105102061542654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456245160201499) and next prime (456245160201503).

It is not a de Polignac number, because 456245160201501 - 2¹ = 456245160201499 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456245160201503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102348540 + ... + 1102762346.

It is an arithmetic number, because the mean of its divisors is an integer number (20819321054784).

Almost surely, 2^{456245160201501} is an apocalyptic number.

It is an amenable number.

456245160201501 is a deficient number, since it is larger than the sum of its proper divisors (209973113551587).

456245160201501 is a wasteful number, since it uses less digits than its factorization.

456245160201501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544081.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 456245160201501 in words is "four hundred fifty-six trillion, two hundred forty-five billion, one hundred sixty million, two hundred one thousand, five hundred one".