1355219964 has 192 divisors, whose sum is σ = 4136832000. Its totient is φ = 375687936.

The previous prime is 1355219947. The next prime is 1355219989. The reversal of 1355219964 is 4699125531.

1355219964 is a `hidden beast` number, since 1 + 3 + 552 + 1 + 9 + 96 + 4 = 666.

It is a super-2 number, since 2×1355219964² = 3673242301648322592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 5970019 + ... + 5970245.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 2^1355219964 is an apocalyptic number.

1355219964 is a gapful number since it is divisible by the number (14) 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 1355219964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068416000).

1355219964 is an abundant number, since it is smaller than the sum of its proper divisors (2781612036).

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

1355219964 is a wasteful number, since it uses less digits than its factorization.

1355219964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 1355219964 is about 36813.3123204093. The cubic root of 1355219964 is about 1106.6320998945.

The spelling of 1355219964 in words is "one billion, three hundred fifty-five million, two hundred nineteen thousand, nine hundred sixty-four".