10345047372 has 72 divisors (see below), whose sum is σ = 28579077072. Its totient is φ = 3129168000.

The previous prime is 10345047347. The next prime is 10345047421. The reversal of 10345047372 is 27374054301.

10345047372 is a `hidden beast` number, since 10 + 3 + 4 + 504 + 73 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197122 + ... + 244022.

It is an arithmetic number, because the mean of its divisors is an integer number (396931626).

Almost surely, 2^10345047372 is an apocalyptic number.

10345047372 is a gapful number since it is divisible by the number (12) 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 10345047372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289538536).

10345047372 is an abundant number, since it is smaller than the sum of its proper divisors (18234029700).

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

10345047372 is a wasteful number, since it uses less digits than its factorization.

10345047372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47479 (or 47474 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 10345047372 in words is "ten billion, three hundred forty-five million, forty-seven thousand, three hundred seventy-two".