461201644642336 has 192 divisors, whose sum is σ = 1032885516644352. Its totient is φ = 201107302843392.

The previous prime is 461201644642303. The next prime is 461201644642381. The reversal of 461201644642336 is 633246446102164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3512433261 + ... + 3512564563.

It is an arithmetic number, because the mean of its divisors is an integer number (5379612065856).

Almost surely, 2^{461201644642336} is an apocalyptic number.

461201644642336 is a gapful number since it is divisible by the number (46) 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 461201644642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516442758322176).

461201644642336 is an abundant number, since it is smaller than the sum of its proper divisors (571683872002016).

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

461201644642336 is a wasteful number, since it uses less digits than its factorization.

461201644642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135855 (or 135847 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 52.

The spelling of 461201644642336 in words is "four hundred sixty-one trillion, two hundred one billion, six hundred forty-four million, six hundred forty-two thousand, three hundred thirty-six".