36446946000 has 240 divisors, whose sum is σ = 124829540160. Its totient is φ = 9147033600.

The previous prime is 36446945993. The next prime is 36446946001. The reversal of 36446946000 is 64964463.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36446946001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1723491 + ... + 1744509.

It is an arithmetic number, because the mean of its divisors is an integer number (520123084).

Almost surely, 2^36446946000 is an apocalyptic number.

36446946000 is a gapful number since it is divisible by the number (30) 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 36446946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62414770080).

36446946000 is an abundant number, since it is smaller than the sum of its proper divisors (88382594160).

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

36446946000 is a wasteful number, since it uses less digits than its factorization.

36446946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21079 (or 21046 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 36446946000 in words is "thirty-six billion, four hundred forty-six million, nine hundred forty-six thousand".