221411634517770 has 128 divisors (see below), whose sum is σ = 551320463715840. Its totient is φ = 56861503994880.

The previous prime is 221411634517763. The next prime is 221411634517819. The reversal of 221411634517770 is 77715436114122.

It is a super-2 number, since 2×221411634517770² (a number of 29 digits) contains 22 as substring.

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, 231498340 + ... + 232452800.

It is an arithmetic number, because the mean of its divisors is an integer number (4307191122780).

Almost surely, 2^{221411634517770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221411634517770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275660231857920).

221411634517770 is an abundant number, since it is smaller than the sum of its proper divisors (329908829198070).

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

221411634517770 is a wasteful number, since it uses less digits than its factorization.

221411634517770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956640.

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 221411634517770 in words is "two hundred twenty-one trillion, four hundred eleven billion, six hundred thirty-four million, five hundred seventeen thousand, seven hundred seventy".