1351848960 has 704 divisors, whose sum is σ = 6036848640. Its totient is φ = 278691840.

The previous prime is 1351848931. The next prime is 1351848973. The reversal of 1351848960 is 698481531.

1351848960 is a `hidden beast` number, since 1 + 3 + 518 + 48 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×1351848960² = 3654991221306163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644417 + ... + 10644543.

Almost surely, 2^1351848960 is an apocalyptic number.

1351848960 is a gapful number since it is divisible by the number (10) 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 1351848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018424320).

1351848960 is an abundant number, since it is smaller than the sum of its proper divisors (4684999680).

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

1351848960 is a wasteful number, since it uses less digits than its factorization.

1351848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1351848960 is about 36767.4986910995. The cubic root of 1351848960 is about 1105.7137843706.

The spelling of 1351848960 in words is "one billion, three hundred fifty-one million, eight hundred forty-eight thousand, nine hundred sixty".