10632749148000 has 1920 divisors, whose sum is σ = 47123657957376. Its totient is φ = 2296594944000.

The previous prime is 10632749147983. The next prime is 10632749148067. The reversal of 10632749148000 is 84194723601.

10632749148000 is a `hidden beast` number, since 1 + 0 + 63 + 27 + 4 + 91 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×10632749148000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3023242242 + ... + 3023245758.

Almost surely, 2^{10632749148000} is an apocalyptic number.

10632749148000 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 10632749148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23561828978688).

10632749148000 is an abundant number, since it is smaller than the sum of its proper divisors (36490908809376).

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

10632749148000 is a wasteful number, since it uses less digits than its factorization.

10632749148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10632749148000 in words is "ten trillion, six hundred thirty-two billion, seven hundred forty-nine million, one hundred forty-eight thousand".