47626432323456 has 256 divisors, whose sum is σ = 146821766192640. Its totient is φ = 13397704679424.

The previous prime is 47626432323451. The next prime is 47626432323499. The reversal of 47626432323456 is 65432323462674.

It is a junction number, because it is equal to n+sod(n) for n = 47626432323396 and 47626432323405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47626432323451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65005186 + ... + 65733758.

It is an arithmetic number, because the mean of its divisors is an integer number (573522524190).

Almost surely, 2^{47626432323456} 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 47626432323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73410883096320).

47626432323456 is an abundant number, since it is smaller than the sum of its proper divisors (99195333869184).

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

47626432323456 is a wasteful number, since it uses less digits than its factorization.

47626432323456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728973 (or 728961 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 57.

The spelling of 47626432323456 in words is "forty-seven trillion, six hundred twenty-six billion, four hundred thirty-two million, three hundred twenty-three thousand, four hundred fifty-six".