13763860329450 has 384 divisors, whose sum is σ = 44808632064000. Its totient is φ = 2708791372800.

The previous prime is 13763860329413. The next prime is 13763860329451. The reversal of 13763860329450 is 5492306836731.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (13763860329451) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1366949016 + ... + 1366959084.

It is an arithmetic number, because the mean of its divisors is an integer number (116689146000).

It is a 1-persistent number, because it is pandigital, but 2⋅13763860329450 = 27527720658900 is not.

Almost surely, 2^{13763860329450} is an apocalyptic number.

13763860329450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13763860329450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404316032000).

13763860329450 is an abundant number, since it is smaller than the sum of its proper divisors (31044771734550).

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

13763860329450 is a wasteful number, since it uses less digits than its factorization.

13763860329450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16350 (or 16345 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 13763860329450 in words is "thirteen trillion, seven hundred sixty-three billion, eight hundred sixty million, three hundred twenty-nine thousand, four hundred fifty".