978413271552 has 400 divisors, whose sum is σ = 3105356994432. Its totient is φ = 306899435520.

The previous prime is 978413271529. The next prime is 978413271587. The reversal of 978413271552 is 255172314879.

978413271552 is a `hidden beast` number, since 9 + 7 + 8 + 4 + 13 + 2 + 71 + 552 = 666.

It is a super-3 number, since 3×978413271552³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171317977 + ... + 171323687.

Almost surely, 2^978413271552 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 978413271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552678497216).

978413271552 is an abundant number, since it is smaller than the sum of its proper divisors (2126943722880).

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

978413271552 is an frugal number, since it uses more digits than its factorization.

978413271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5733 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 978413271552 in words is "nine hundred seventy-eight billion, four hundred thirteen million, two hundred seventy-one thousand, five hundred fifty-two".