213154695936 has 1440 divisors, whose sum is σ = 833667867648. Its totient is φ = 52672757760.

The previous prime is 213154695913. The next prime is 213154695967. The reversal of 213154695936 is 639596451312.

213154695936 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 5 + 46 + 9 + 593 + 6 = 666.

It is a super-4 number, since 4×213154695936⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3002178781 + ... + 3002178851.

Almost surely, 2^213154695936 is an apocalyptic number.

213154695936 is a gapful number since it is divisible by the number (26) 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 213154695936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416833933824).

213154695936 is an abundant number, since it is smaller than the sum of its proper divisors (620513171712).

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

213154695936 is a wasteful number, since it uses less digits than its factorization.

213154695936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 213154695936 in words is "two hundred thirteen billion, one hundred fifty-four million, six hundred ninety-five thousand, nine hundred thirty-six".