13790146496 has 224 divisors, whose sum is σ = 35136368640. Its totient is φ = 5227462656.

The previous prime is 13790146463. The next prime is 13790146511. The reversal of 13790146496 is 69464109731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13790146496² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22718225 + ... + 22718831.

Almost surely, 2^13790146496 is an apocalyptic number.

13790146496 is a gapful number since it is divisible by the number (16) 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 13790146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17568184320).

13790146496 is an abundant number, since it is smaller than the sum of its proper divisors (21346222144).

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

13790146496 is a wasteful number, since it uses less digits than its factorization.

13790146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 13790146496 in words is "thirteen billion, seven hundred ninety million, one hundred forty-six thousand, four hundred ninety-six".