88501490064 has 135 divisors (see below), whose sum is σ = 268339940193. Its totient is φ = 27216948096.

The previous prime is 88501490057. The next prime is 88501490113. The reversal of 88501490064 is 46009410588.

The square root of 88501490064 is 297492.

It is a perfect power (a square), and thus also a powerful number.

88501490064 is a `hidden beast` number, since 88 + 501 + 4 + 9 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13091936400 + 75409553664 = 114420^2 + 274608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46407799 + ... + 46409705.

Almost surely, 2^88501490064 is an apocalyptic number.

88501490064 is the 297492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88501490064

88501490064 is an abundant number, since it is smaller than the sum of its proper divisors (179838450129).

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

88501490064 is a wasteful number, since it uses less digits than its factorization.

88501490064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 88501490064 in words is "eighty-eight billion, five hundred one million, four hundred ninety thousand, sixty-four".