1413351733248 has 576 divisors, whose sum is σ = 5035059993600. Its totient is φ = 371934167040.

The previous prime is 1413351733243. The next prime is 1413351733291. The reversal of 1413351733248 is 8423371533141.

1413351733248 is a `hidden beast` number, since 1 + 4 + 1 + 335 + 1 + 73 + 3 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413351733243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1360299513 + ... + 1360300551.

It is an arithmetic number, because the mean of its divisors is an integer number (8741423600).

Almost surely, 2^{1413351733248} is an apocalyptic number.

1413351733248 is a gapful number since it is divisible by the number (18) 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 1413351733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517529996800).

1413351733248 is an abundant number, since it is smaller than the sum of its proper divisors (3621708260352).

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

1413351733248 is a wasteful number, since it uses less digits than its factorization.

1413351733248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1875 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 1413351733248 in words is "one trillion, four hundred thirteen billion, three hundred fifty-one million, seven hundred thirty-three thousand, two hundred forty-eight".