973577381382144 has 1728 divisors, whose sum is σ = 3706655550736320. Its totient is φ = 252454675415040.

The previous prime is 973577381382119. The next prime is 973577381382167. The reversal of 973577381382144 is 441283183775379.

It is a happy number.

973577381382144 is a `hidden beast` number, since 9 + 7 + 3 + 5 + 77 + 38 + 1 + 382 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180526120312 + ... + 180526125704.

It is an arithmetic number, because the mean of its divisors is an integer number (2145055295565).

Almost surely, 2^{973577381382144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973577381382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853327775368160).

973577381382144 is an abundant number, since it is smaller than the sum of its proper divisors (2733078169354176).

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

973577381382144 is a wasteful number, since it uses less digits than its factorization.

973577381382144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6089 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 973577381382144 in words is "nine hundred seventy-three trillion, five hundred seventy-seven billion, three hundred eighty-one million, three hundred eighty-two thousand, one hundred forty-four".