84377101248 has 560 divisors, whose sum is σ = 280978587648. Its totient is φ = 24820992000.

The previous prime is 84377101219. The next prime is 84377101271. The reversal of 84377101248 is 84210177348.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 441764833 + ... + 441765023.

Almost surely, 2^84377101248 is an apocalyptic number.

84377101248 is a gapful number since it is divisible by the number (88) 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 84377101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140489293824).

84377101248 is an abundant number, since it is smaller than the sum of its proper divisors (196601486400).

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

84377101248 is a wasteful number, since it uses less digits than its factorization.

84377101248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 84377101248 in words is "eighty-four billion, three hundred seventy-seven million, one hundred one thousand, two hundred forty-eight".