219812909652 has 384 divisors, whose sum is σ = 740759040000. Its totient is φ = 55995287040.

The previous prime is 219812909611. The next prime is 219812909663. The reversal of 219812909652 is 256909218912.

219812909652 is a `hidden beast` number, since 219 + 8 + 1 + 290 + 96 + 52 = 666.

It is a super-2 number, since 2×219812909652² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11956027 + ... + 11974397.

It is an arithmetic number, because the mean of its divisors is an integer number (1929060000).

Almost surely, 2^219812909652 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 219812909652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370379520000).

219812909652 is an abundant number, since it is smaller than the sum of its proper divisors (520946130348).

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

219812909652 is a wasteful number, since it uses less digits than its factorization.

219812909652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441 (or 18419 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 219812909652 in words is "two hundred nineteen billion, eight hundred twelve million, nine hundred nine thousand, six hundred fifty-two".