213028947264 has 448 divisors, whose sum is σ = 703494656000. Its totient is φ = 56696371200.

The previous prime is 213028947251. The next prime is 213028947277. The reversal of 213028947264 is 462749820312.

It is an interprime number because it is at equal distance from previous prime (213028947251) and next prime (213028947277).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76325709 + ... + 76328499.

Almost surely, 2^213028947264 is an apocalyptic number.

213028947264 is a gapful number since it is divisible by the number (24) 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 213028947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351747328000).

213028947264 is an abundant number, since it is smaller than the sum of its proper divisors (490465708736).

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

213028947264 is a wasteful number, since it uses less digits than its factorization.

213028947264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 213028947264 in words is "two hundred thirteen billion, twenty-eight million, nine hundred forty-seven thousand, two hundred sixty-four".