10145884476 has 384 divisors, whose sum is σ = 31964921856. Its totient is φ = 2431503360.

The previous prime is 10145884457. The next prime is 10145884513. The reversal of 10145884476 is 67448854101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64623390 + ... + 64623546.

It is an arithmetic number, because the mean of its divisors is an integer number (83241984).

Almost surely, 2^10145884476 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 10145884476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982460928).

10145884476 is an abundant number, since it is smaller than the sum of its proper divisors (21819037380).

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

10145884476 is a wasteful number, since it uses less digits than its factorization.

10145884476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 10145884476 in words is "ten billion, one hundred forty-five million, eight hundred eighty-four thousand, four hundred seventy-six".