153402461004064 has 48 divisors (see below), whose sum is σ = 331728434009280. Its totient is φ = 69505005208320.

The previous prime is 153402461004059. The next prime is 153402461004097. The reversal of 153402461004064 is 460400164204351.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5484913827 + ... + 5484941794.

It is an arithmetic number, because the mean of its divisors is an integer number (6911009041860).

Almost surely, 2^{153402461004064} is an apocalyptic number.

It is an amenable number.

153402461004064 is an abundant number, since it is smaller than the sum of its proper divisors (178325973005216).

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

153402461004064 is a wasteful number, since it uses less digits than its factorization.

153402461004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10969855673 (or 10969855665 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 153402461004064 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, four thousand, sixty-four".