11452969388000 has 384 divisors, whose sum is σ = 32674604691456. Its totient is φ = 3864102144000.

The previous prime is 11452969387987. The next prime is 11452969388099. The reversal of 11452969388000 is 88396925411.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1107310829 + ... + 1107321171.

It is an arithmetic number, because the mean of its divisors is an integer number (85090116384).

Almost surely, 2^{11452969388000} is an apocalyptic number.

11452969388000 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 11452969388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337302345728).

11452969388000 is an abundant number, since it is smaller than the sum of its proper divisors (21221635303456).

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

11452969388000 is a wasteful number, since it uses less digits than its factorization.

11452969388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 11452969388000 in words is "eleven trillion, four hundred fifty-two billion, nine hundred sixty-nine million, three hundred eighty-eight thousand".