211794948000 has 576 divisors, whose sum is σ = 789274886400. Its totient is φ = 53683660800.

The previous prime is 211794947911. The next prime is 211794948031. The reversal of 211794948000 is 849497112.

It is a happy number.

211794948000 is a `hidden beast` number, since 2 + 11 + 79 + 494 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148211286 + ... + 148212714.

It is an arithmetic number, because the mean of its divisors is an integer number (1370268900).

Almost surely, 2^211794948000 is an apocalyptic number.

211794948000 is a gapful number since it is divisible by the number (20) 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 211794948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394637443200).

211794948000 is an abundant number, since it is smaller than the sum of its proper divisors (577479938400).

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

211794948000 is a wasteful number, since it uses less digits than its factorization.

211794948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 211794948000 in words is "two hundred eleven billion, seven hundred ninety-four million, nine hundred forty-eight thousand".