11551655150364 has 192 divisors, whose sum is σ = 33079637606400. Its totient is φ = 3062333094912.

The previous prime is 11551655150341. The next prime is 11551655150401. The reversal of 11551655150364 is 46305155615511.

It is a happy number.

It is a super-2 number, since 2×11551655150364² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74265417 + ... + 74420799.

It is an arithmetic number, because the mean of its divisors is an integer number (172289779200).

Almost surely, 2^{11551655150364} is an apocalyptic number.

11551655150364 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 11551655150364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539818803200).

11551655150364 is an abundant number, since it is smaller than the sum of its proper divisors (21527982456036).

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

11551655150364 is a wasteful number, since it uses less digits than its factorization.

11551655150364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156152 (or 156150 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 48.

The spelling of 11551655150364 in words is "eleven trillion, five hundred fifty-one billion, six hundred fifty-five million, one hundred fifty thousand, three hundred sixty-four".