11451337632 has 384 divisors, whose sum is σ = 41259456000. Its totient is φ = 3077996544.

The previous prime is 11451337523. The next prime is 11451337633. The reversal of 11451337632 is 23673315411.

11451337632 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 13 + 3 + 7 + 632 = 666.

It is a super-2 number, since 2×11451337632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451337633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5036848 + ... + 5039120.

It is an arithmetic number, because the mean of its divisors is an integer number (107446500).

Almost surely, 2^11451337632 is an apocalyptic number.

11451337632 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 11451337632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629728000).

11451337632 is an abundant number, since it is smaller than the sum of its proper divisors (29808118368).

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

11451337632 is a wasteful number, since it uses less digits than its factorization.

11451337632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2302 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The spelling of 11451337632 in words is "eleven billion, four hundred fifty-one million, three hundred thirty-seven thousand, six hundred thirty-two".