1351946496 has 144 divisors (see below), whose sum is σ = 3692150784. Its totient is φ = 439068672.

The previous prime is 1351946489. The next prime is 1351946507. The reversal of 1351946496 is 6946491531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8095405 + ... + 8095571.

It is an arithmetic number, because the mean of its divisors is an integer number (25639936).

Almost surely, 2^1351946496 is an apocalyptic number.

1351946496 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 1351946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846075392).

1351946496 is an abundant number, since it is smaller than the sum of its proper divisors (2340204288).

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

1351946496 is a wasteful number, since it uses less digits than its factorization.

1351946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 1351946496 is about 36768.8250560172. The cubic root of 1351946496 is about 1105.7403761741.

The spelling of 1351946496 in words is "one billion, three hundred fifty-one million, nine hundred forty-six thousand, four hundred ninety-six".