11623342664640 has 448 divisors, whose sum is σ = 42616171173888. Its totient is φ = 2629072896000.

The previous prime is 11623342664623. The next prime is 11623342664663. The reversal of 11623342664640 is 4646624332611.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11623342664640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1840006762 + ... + 1840013078.

Almost surely, 2^{11623342664640} is an apocalyptic number.

11623342664640 is a gapful number since it is divisible by the number (10) 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 11623342664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21308085586944).

11623342664640 is an abundant number, since it is smaller than the sum of its proper divisors (30992828509248).

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

11623342664640 is a wasteful number, since it uses less digits than its factorization.

11623342664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 11623342664640 in words is "eleven trillion, six hundred twenty-three billion, three hundred forty-two million, six hundred sixty-four thousand, six hundred forty".