10449920483352 has 320 divisors, whose sum is σ = 34128841824000. Its totient is φ = 2925503080704.

The previous prime is 10449920483333. The next prime is 10449920483377. The reversal of 10449920483352 is 25338402994401.

It is a happy number.

10449920483352 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 9 + 9 + 204 + 83 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82096974 + ... + 82224162.

It is an arithmetic number, because the mean of its divisors is an integer number (106652630700).

Almost surely, 2^{10449920483352} is an apocalyptic number.

10449920483352 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 10449920483352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064420912000).

10449920483352 is an abundant number, since it is smaller than the sum of its proper divisors (23678921340648).

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

10449920483352 is a wasteful number, since it uses less digits than its factorization.

10449920483352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127580 (or 127567 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 10449920483352 in words is "ten trillion, four hundred forty-nine billion, nine hundred twenty million, four hundred eighty-three thousand, three hundred fifty-two".