10745615034 has 576 divisors, whose sum is σ = 34418442240. Its totient is φ = 2469035520.

The previous prime is 10745614991. The next prime is 10745615039. The reversal of 10745615034 is 43051654701.

10745615034 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 5 + 615 + 0 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10745615034.

It is not an unprimeable number, because it can be changed into a prime (10745615039) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84611079 + ... + 84611205.

It is an arithmetic number, because the mean of its divisors is an integer number (59754240).

Almost surely, 2^10745615034 is an apocalyptic number.

10745615034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10745615034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209221120).

10745615034 is an abundant number, since it is smaller than the sum of its proper divisors (23672827206).

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

10745615034 is a wasteful number, since it uses less digits than its factorization.

10745615034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10745615034 in words is "ten billion, seven hundred forty-five million, six hundred fifteen thousand, thirty-four".