10182746496 has 256 divisors, whose sum is σ = 31185120960. Its totient is φ = 2916089856.

The previous prime is 10182746489. The next prime is 10182746503. The reversal of 10182746496 is 69464728101.

It is an interprime number because it is at equal distance from previous prime (10182746489) and next prime (10182746503).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 8231190 + ... + 8232426.

Almost surely, 2^10182746496 is an apocalyptic number.

10182746496 is a gapful number since it is divisible by the number (16) 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 10182746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592560480).

10182746496 is an abundant number, since it is smaller than the sum of its proper divisors (21002374464).

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

10182746496 is a wasteful number, since it uses less digits than its factorization.

10182746496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10182746496 in words is "ten billion, one hundred eighty-two million, seven hundred forty-six thousand, four hundred ninety-six".