10145634480 has 160 divisors (see below), whose sum is σ = 35367736320. Its totient is φ = 2672858880.

The previous prime is 10145634479. The next prime is 10145634481. The reversal of 10145634480 is 8443654101.

10145634480 is a `hidden beast` number, since 1 + 0 + 14 + 5 + 634 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10145634479) and next prime (10145634481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10145634481) 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, 150985 + ... + 207575.

It is an arithmetic number, because the mean of its divisors is an integer number (221048352).

Almost surely, 2^10145634480 is an apocalyptic number.

10145634480 is a gapful number since it is divisible by the number (10) 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 10145634480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683868160).

10145634480 is an abundant number, since it is smaller than the sum of its proper divisors (25222101840).

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

10145634480 is a wasteful number, since it uses less digits than its factorization.

10145634480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56696 (or 56684 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10145634480 in words is "ten billion, one hundred forty-five million, six hundred thirty-four thousand, four hundred eighty".