11652456035532 has 384 divisors, whose sum is σ = 31401742417920. Its totient is φ = 3335862942720.

The previous prime is 11652456035483. The next prime is 11652456035543. The reversal of 11652456035532 is 23553065425611.

It is a super-2 number, since 2×11652456035532² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 7986603819 + ... + 7986605277.

It is an arithmetic number, because the mean of its divisors is an integer number (81775370880).

Almost surely, 2^{11652456035532} is an apocalyptic number.

11652456035532 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 11652456035532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700871208960).

11652456035532 is an abundant number, since it is smaller than the sum of its proper divisors (19749286382388).

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

11652456035532 is a wasteful number, since it uses less digits than its factorization.

11652456035532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 11652456035532 in words is "eleven trillion, six hundred fifty-two billion, four hundred fifty-six million, thirty-five thousand, five hundred thirty-two".