11346552504 has 192 divisors, whose sum is σ = 36199800000. Its totient is φ = 3209068800.

The previous prime is 11346552463. The next prime is 11346552509. The reversal of 11346552504 is 40525564311.

11346552504 is a `hidden beast` number, since 1 + 13 + 46 + 552 + 50 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11346552509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492022 + ... + 2496570.

It is an arithmetic number, because the mean of its divisors is an integer number (188540625).

Almost surely, 2^11346552504 is an apocalyptic number.

11346552504 is a gapful number since it is divisible by the number (14) 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 11346552504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18099900000).

11346552504 is an abundant number, since it is smaller than the sum of its proper divisors (24853247496).

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

11346552504 is a wasteful number, since it uses less digits than its factorization.

11346552504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11346552504 in words is "eleven billion, three hundred forty-six million, five hundred fifty-two thousand, five hundred four".