11623551551616 has 128 divisors (see below), whose sum is σ = 32234013757440. Its totient is φ = 3704154854400.

The previous prime is 11623551551597. The next prime is 11623551551681. The reversal of 11623551551616 is 61615515532611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11623551551616² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16893951 + ... + 17568513.

It is an arithmetic number, because the mean of its divisors is an integer number (251828232480).

Almost surely, 2^{11623551551616} is an apocalyptic number.

11623551551616 is a gapful number since it is divisible by the number (16) 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 11623551551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117006878720).

11623551551616 is an abundant number, since it is smaller than the sum of its proper divisors (20610462205824).

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

11623551551616 is a wasteful number, since it uses less digits than its factorization.

11623551551616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676554 (or 676542 counting only the distinct ones).

The product of its digits is 810000, while the sum is 48.

The spelling of 11623551551616 in words is "eleven trillion, six hundred twenty-three billion, five hundred fifty-one million, five hundred fifty-one thousand, six hundred sixteen".