10003354746552 has 288 divisors, whose sum is σ = 29089678625280. Its totient is φ = 3101769365760.

The previous prime is 10003354746523. The next prime is 10003354746559. The reversal of 10003354746552 is 25564745330001.

10003354746552 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 3 + 54 + 7 + 46 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10003354746498 and 10003354746507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003354746559) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 253595743 + ... + 253635185.

It is an arithmetic number, because the mean of its divisors is an integer number (101005828560).

Almost surely, 2^{10003354746552} is an apocalyptic number.

10003354746552 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 10003354746552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544839312640).

10003354746552 is an abundant number, since it is smaller than the sum of its proper divisors (19086323878728).

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

10003354746552 is a wasteful number, since it uses less digits than its factorization.

10003354746552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39643 (or 39599 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 10003354746552 in words is "ten trillion, three billion, three hundred fifty-four million, seven hundred forty-six thousand, five hundred fifty-two".