22315013435424 has 96 divisors (see below), whose sum is σ = 59655559549824. Its totient is φ = 7301851361280.

The previous prime is 22315013435411. The next prime is 22315013435437. The reversal of 22315013435424 is 42453431051322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22315013435411) and next prime (22315013435437).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22315013435424³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842329 + ... + 6733464.

It is an arithmetic number, because the mean of its divisors is an integer number (621412078644).

Almost surely, 2^{22315013435424} is an apocalyptic number.

22315013435424 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 22315013435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29827779774912).

22315013435424 is an abundant number, since it is smaller than the sum of its proper divisors (37340546114400).

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

22315013435424 is a wasteful number, since it uses less digits than its factorization.

22315013435424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576370 (or 7576362 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 22315013435424 its reverse (42453431051322), we get a palindrome (64768444486746).

The spelling of 22315013435424 in words is "twenty-two trillion, three hundred fifteen billion, thirteen million, four hundred thirty-five thousand, four hundred twenty-four".