1201745664 has 216 divisors, whose sum is σ = 3988988640. Its totient is φ = 340844544.

The previous prime is 1201745651. The next prime is 1201745719. The reversal of 1201745664 is 4665471021.

1201745664 is a `hidden beast` number, since 1 + 20 + 1 + 74 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4338294 + ... + 4338570.

It is an arithmetic number, because the mean of its divisors is an integer number (18467540).

Almost surely, 2^1201745664 is an apocalyptic number.

1201745664 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 1201745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994494320).

1201745664 is an abundant number, since it is smaller than the sum of its proper divisors (2787242976).

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

1201745664 is a wasteful number, since it uses less digits than its factorization.

1201745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1201745664 is about 34666.2034840852. The cubic root of 1201745664 is about 1063.1736097413.

The spelling of 1201745664 in words is "one billion, two hundred one million, seven hundred forty-five thousand, six hundred sixty-four".