973614213000 has 1536 divisors, whose sum is σ = 4026875973120. Its totient is φ = 209018880000.

The previous prime is 973614212993. The next prime is 973614213001. The reversal of 973614213000 is 312416379.

973614213000 is a `hidden beast` number, since 9 + 7 + 3 + 614 + 2 + 1 + 30 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (973614213001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4039892880 + ... + 4039893120.

It is an arithmetic number, because the mean of its divisors is an integer number (2621664045).

Almost surely, 2^973614213000 is an apocalyptic number.

973614213000 is a gapful number since it is divisible by the number (90) 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 973614213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013437986560).

973614213000 is an abundant number, since it is smaller than the sum of its proper divisors (3053261760120).

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

973614213000 is a wasteful number, since it uses less digits than its factorization.

973614213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 973614213000 its reverse (312416379), we get a palindrome (973926629379).

The spelling of 973614213000 in words is "nine hundred seventy-three billion, six hundred fourteen million, two hundred thirteen thousand".