1353650464 has 96 divisors (see below), whose sum is σ = 2910781440. Its totient is φ = 617760000.

The previous prime is 1353650401. The next prime is 1353650471. The reversal of 1353650464 is 4640563531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802089 + ... + 1802839.

It is an arithmetic number, because the mean of its divisors is an integer number (30320640).

Almost surely, 2^1353650464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353650464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455390720).

1353650464 is an abundant number, since it is smaller than the sum of its proper divisors (1557130976).

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

1353650464 is a wasteful number, since it uses less digits than its factorization.

1353650464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 1353650464 is about 36791.9891280697. The cubic root of 1353650464 is about 1106.2047326152.

It can be divided in two parts, 13536 and 50464, that added together give a cube (64000 = 40³).

The spelling of 1353650464 in words is "one billion, three hundred fifty-three million, six hundred fifty thousand, four hundred sixty-four".